List of largest known primes and probable primes

The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.

Largest known primes

These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers. “!” is the factorial, “#” is the primorial, and $\Phi _{3}(x)$ is the third cyclotomic polynomial, defined as $x^{2}+x+1$ .

Rank^[1]^[2]	Number	Discovery date	Decimal digits
1	2^136279841 − 1 ^[3]	12 October 2024	41,024,320
2	2^82589933 − 1 ^[4]	7 December 2018	24,862,048
3	2^77232917 − 1 ^[5]	26 December 2017	23,249,425
4	2^74207281 − 1 ^[6]	7 January 2016	22,338,618
5	2^57885161 − 1 ^[7]	25 January 2013	17,425,170
6	2^43112609 − 1 ^[8]	23 August 2008	12,978,189
7	2^42643801 − 1 ^[9]	4 June 2009	12,837,064
8	$\Phi _{3}(-516693^{1048576})$ ^[10]	2 October 2023	11,981,518
9	$\Phi _{3}(-465859^{1048576})$ ^[11]	31 May 2023	11,887,192
10	2^37156667 − 1 ^[8]	6 September 2008	11,185,272
11	2^32582657 − 1 ^[12]	4 September 2006	9,808,358
12	10223×2^31172165 + 1 ^[13]	31 October 2016	9,383,761
13	2^30402457 − 1 ^[14]	15 December 2005	9,152,052
14	4×5^11786358 + 1	1 October 2024	8,238,312
15	2^25964951 − 1 ^[15]	18 February 2005	7,816,230
16	4052186×69^4052186 + 1 ^[16]	16 April 2025	7,451,366
17	69×2^24612729 − 1	13 August 2024	7,409,172
18	2^24036583 − 1 ^[17]	15 May 2004	7,235,733
19	107347×2^23427517 − 1	4 August 2024	7,052,391
20	3×2^23157875 − 1 ^[18]	25 June 2025	6,971,216
21	3843236^1048576 + 1 ^[19]	17 December 2024	6,904,556
22	3×2^22103376 − 1 ^[20]	30 September 2024	6,653,780
23	1963736^1048576 + 1 ^[21]	24 September 2022	6,598,776
24	1951734^1048576 + 1 ^[22]	9 August 2022	6,595,985
25	202705×2^21320516 + 1 ^[23]	25 November 2021	6,418,121
26	2^20996011 − 1 ^[24]	17 November 2003	6,320,430
27	1059094^1048576 + 1 ^[25]	31 October 2018	6,317,602
28	3×2^20928756 − 1 ^[26]	5 July 2023	6,300,184
29	919444^1048576 + 1 ^[27]	29 August 2017	6,253,210
30	81×2^20498148 + 1	13 June 2023	6,170,560
31	7×2^20267500 + 1	21 July 2022	6,101,127
32	4×5^8431178 + 1	2 January 2024	5,893,142
33	168451×2^19375200 + 1 ^[28]	17 September 2017	5,832,522
34	69×2^19374980 − 1	3 July 2022	5,832,452
35	3×2^18924888 − 1 ^[29]	24 March 2022	5,696,990
36	69×2^18831865 − 1	16 December 2021	5,668,959
37	2×3^11879700 + 1	22 June 2024	5,668,058
38	97139×2^18397548 − 1	23 April 2023	5,538,219
39	7×2^18233956 + 1	1 October 2020	5,488,969
40	3×2^18196595 − 1 ^[30]	8 January 2022	5,477,722
41	4×3^11279466 + 1	10 September 2024	5,381,674
42	3×2^17748034 − 1 ^[31]	6 September 2021	5,342,692
43	$\Phi _{3}(-123447^{524288})$	23 February 2017	5,338,805
44	3622×5^7558139 − 1	18 February 2022	5,282,917
45	7×6^6772401 + 1	9 September 2019	5,269,954
46	2×3^10852677 + 1	8 January 2023	5,178,044
47	8508301×2^17016603 − 1 ^[32]	21 March 2018	5,122,515
48	8×10^5112848 − 1	30 January 2024	5,112,848
49	13×2^16828072 + 1	11 October 2023	5,065,756
50	3×2^16819291 − 1 ^[33]	20 January 2021	5,063,112
51	5287180×3^10574360 − 1	3 November 2024	5,045,259
52	3×2^16408818 + 1 ^[34]	25 October 2020	4,939,547
53	2329989×2^16309923 − 1	13 February 2024	4,909,783
54	69×2^15866556 + 1	20 August 2021	4,776,312
55	2036×3^10009192 + 1	15 February 2024	4,775,602
56	2525332×73^2525332 + 1 ^[35]	28 August 2021	4,705,888
57	1419499×2^15614489 + 1	9 February 2024	4,700,436
58	11×2^15502315 + 1	8 January 2023	4,666,663
59	(10^2332974 + 1)² − 2	20 February 2024	4,665,949
60	37×2^15474010 + 1	8 November 2022	4,658,143
61	93839×2^15337656 − 1	28 November 2022	4,617,100
62	2^15317227+2^7658614 + 1	31 July 2020	4,610,945
63	13×2^15294536 + 1	30 September 2023	4,604,116
64	6×5^6546983 + 1	13 June 2020	4,576,146
65	4788920×3^9577840 − 1	14 February 2024	4,569,798
66	31×2^15145093 − 1	9 February 2025	4,559,129
67	69×2^14977631 − 1	3 December 2021	4,508,719
68	192971×2^14773498 − 1	7 March 2021	4,447,272
69	4×3^9214845 + 1	10 September 2024	4,396,600
70	9145334×3^9145334 + 1	25 December 2023	4,363,441
71	4×5^6181673 − 1	15 July 2022	4,320,805
72	396101×2^14259638 − 1	3 February 2024	4,292,585
73	6962×31^2863120 − 1	29 February 2020	4,269,952
74	37×2^14166940 + 1	24 June 2022	4,264,676
75	99739×2^14019102 + 1 ^[36]	24 December 2019	4,220,176
76	69×2^13832885 − 1	17 January 2022	4,164,116
77	404849×2^13764867 + 1	10 March 2021	4,143,644
78	25×2^13719266 + 1	20 September 2022	4,129,912
79	81×2^13708272 + 1	11 October 2022	4,126,603
80	2740879×2^13704395 − 1	26 October 2019	4,125,441
81	479216×3^8625889 − 1	16 November 2019	4,115,601
82	13×2^13584543 − 1	30 May 2025	4,089,357
83	31×2^13514933 − 1	9 February 2025	4,068,402
84	$\Phi _{3}(-143332^{393216})$	30 January 2017	4,055,114
85	81×2^13470584 + 1	9 October 2022	4,055,052
86	2^13466917 − 1 ^[37]	14 November 2001	4,053,946
87	5778486×5^5778486 + 1	15 August 2024	4,038,996
88	9×2^13334487 + 1	31 March 2020	4,014,082
89	206039×2^13104952 − 1	26 April 2021	3,944,989
90	2805222×5^5610444 + 1 ^[38]	2 September 2019	3,921,539
91	5128×22^2919993 + 1	5 December 2024	3,919,869
92	19249×2^13018586 + 1 ^[39]	26 March 2007	3,918,990
93	2293×2^12918431 − 1	13 February 2021	3,888,839
94	81×2^12804541 + 1	19 September 2022	3,854,553
95	67612×5^5501582 + 1 ^[40]	8 April 2025	3,845,446
96	4×5^5380542 + 1	22 February 2023	3,760,839
97	13520762⁵²⁴²⁸⁸ + 1 ^[41]	25 February 2025	3,738,699
98	13427472⁵²⁴²⁸⁸ + 1 ^[42]	3 March 2025	3,737,122
99	9×2^12406887 + 1	29 March 2020	3,734,847
100	12900356⁵²⁴²⁸⁸ + 1 ^[43]	22 January 2025	3,728,004
101	12693488⁵²⁴²⁸⁸ + 1 ^[44]	6 January 2025	3,724,323
102	11937916⁵²⁴²⁸⁸ + 1 ^[45]	5 October 2024	3,710,349
103	7×2^12286041 − 1	10 June 2023	3,698,468
104	10913140⁵²⁴²⁸⁸ + 1 ^[46]	19 June 2024	3,689,913
105	69×2^12231580 − 1	27 July 2021	3,682,075
106	27×2^12184319 + 1	6 February 2021	3,667,847
107	9332124⁵²⁴²⁸⁸ + 1 ^[47]	22 June 2024	3,654,278
108	8630170⁵²⁴²⁸⁸ + 1 ^[48]	13 April 2024	3,636,472
109	863282×5^5179692 − 1	17 October 2024	3,620,456
110	670490×12^3352450 − 1	17 October 2024	3,617,907
111	4×3^7578378 + 1	9 September 2024	3,615,806
112	11×2^11993994 − 1	15 August 2024	3,610,554
113	3761×2^11978874 − 1	6 July 2022	3,606,004
114	95×2^11954552 − 1	28 May 2024	3,598,681
115	259072×5^5136295 − 1	28 October 2024	3,590,122
116	3×2^11895718 − 1 ^[49]	23 June 2015	3,580,969
117	37×2^11855148 + 1	30 May 2022	3,568,757
118	6339004⁵²⁴²⁸⁸ + 1 ^[50]	8 June 2023	3,566,218
119	763795×6^4582771 + 1	11 December 2023	3,566,095
120	5897794⁵²⁴²⁸⁸ + 1 ^[39]	18 December 2022	3,549,792
121	3×2^11731850 − 1 ^[51]	13 March 2015	3,531,640
122	69×2^11718455 − 1 ^[39]	4 December 2020	3,527,609
123	8629×2^11708579 − 1	19 September 2024	3,524,638
124	41×2^11676439 + 1 ^[39]	20 June 2022	3,514,960
125	4896418⁵²⁴²⁸⁸ + 1 ^[52]	15 May 2022	3,507,424
126	81×2^11616017 + 1 ^[39]	30 August 2022	3,496,772
127	69×2^11604348 − 1 ^[39]	4 December 2020	3,493,259
128	4450871×6^4450871 + 1 ^[39]	17 September 2023	3,463,458
129	9×2^11500843 + 1 ^[39]	13 March 2020	3,462,100
130	3×2^11484018 − 1 ^[53]	22 November 2014	3,457,035
131	193997×2^11452891 + 1 ^[54]	3 April 2018	3,447,670
132	29914×5^4930904 + 1	27 September 2024	3,446,559
133	3638450⁵²⁴²⁸⁸ + 1 ^[55]	29 May 2020	3,439,810
134	9221×2^11392194 − 1 ^[56]	7 February 2021	3,429,397
135	9×2^11366286 + 1	26 March 2020	3,421,594
136	5×2^11355764 − 1	2 October 2021	3,418,427
137	732050×6^4392301 + 1	9 September 2023	3,417,881
138	3214654⁵²⁴²⁸⁸ + 1 ^[57]	24 December 2019	3,411,613
139	632760! − 1	20 October 2024	3,395,992
140	146561×2^11280802 − 1 ^[58]	16 November 2020	3,395,865
141	51208×5^4857576 + 1	6 June 2024	3,395,305
142	2985036⁵²⁴²⁸⁸ + 1 ^[59]	18 September 2019	3,394,739
143	4591×2^11270837 − 1	2 January 2025	3,392,864
144	6929×2^11255424 − 1	7 July 2022	3,388,225
145	2877652⁵²⁴²⁸⁸ + 1 ^[60]	29 June 2019	3,386,397
146	2788032⁵²⁴²⁸⁸ + 1 ^[61]	17 April 2019	3,379,193
147	2733014⁵²⁴²⁸⁸ + 1 ^[62]	18 March 2019	3,374,655
148	9×2^11158963 + 1	13 March 2020	3,359,184
149	9271×2^11134335 − 1	17 January 2021	3,351,773
150	136804×5^4777253 − 1	1 March 2024	3,339,162
151	2312092⁵²⁴²⁸⁸ + 1 ^[63]	4 August 2018	3,336,572
152	987324×48^1974648 − 1	12 October 2024	3,319,866
153	2061748⁵²⁴²⁸⁸ + 1 ^[64]	20 March 2018	3,310,478
154	1880370⁵²⁴²⁸⁸ + 1 ^[65]	15 January 2018	3,289,511
155	27×2^10902757 − 1	7 March 2022	3,282,059
156	3×2^10829346 + 1 ^[66]	14 January 2014	3,259,959
157	11×2^10803449 + 1	29 May 2022	3,252,164
158	11×2^10797109 + 1	29 May 2022	3,250,255
159	7×2^10612737 − 1	19 May 2022	3,194,154
160	7351117# + 1	14 September 2024	3,191,401
161	37×2^10599476 + 1	17 June 2022	3,190,762
162	5×2^10495620 − 1	26 September 2021	3,159,498
163	${\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}$	30 June 2023	3,153,105
164	5×2^10349000 − 1	26 September 2021	3,115,361
165	$\Phi _{3}(-844833^{262144})$	17 January 2017	3,107,335
166	52922×5^4399812 − 1	3 August 2023	3,075,342
167	$\Phi _{3}(-712012^{262144})$	14 January 2017	3,068,389
168	177742×5^4386703 − 1	24 July 2023	3,066,180
169	4×3^6402015 + 1	9 September 2024	3,054,539
170	874208×54^1748416 − 1	26 September 2019	3,028,951
171	475856⁵²⁴²⁸⁸ + 1 ^[67]	8 August 2012	2,976,633
172	2×3^6236772 + 1	20 December 2022	2,975,697
173	15×3^9830108 + 1	19 August 2023	2,959,159
174	9×2^9778263 + 1	5 August 2020	2,943,552
175	198×558^1061348 + 1	30 August 2024	2,915,138
176	1806676×41^1806676 + 1	11 March 2018	2,913,785
177	356926⁵²⁴²⁸⁸ + 1 ^[68]	20 June 2012	2,911,151
178	341112⁵²⁴²⁸⁸ + 1 ^[69]	15 June 2012	2,900,832
179	213988×5^4138363 − 1	29 November 2022	2,892,597
180	43×2^9596983 − 1	28 February 2022	2,888,982
181	121×2^9584444 + 1 ^[70]	18 November 2020	2,885,208
182	15×2^9482269 − 1	14 August 2024	2,854,449
183	6533299# − 1	18 August 2024	2,835,864
184	11×2^9381365 + 1	7 March 2020	2,824,074
185	15×2^9312889 + 1	7 August 2023	2,803,461
186	97×2^9305542 + 1	10 May 2025	2,801,250
187	93×2^9235048 + 1	7 May 2025	2,780,029
188	49×2^9187790 + 1	11 September 2022	2,765,803
189	6369619# + 1	12 August 2024	2,765,105
190	27653×2^9167433 + 1 ^[39]	8 June 2005	2,759,677
191	6354977# − 1	12 August 2024	2,758,832
192	90527×2^9162167 + 1	30 June 2010	2,758,093
193	6795×2^9144320 − 1	31 March 2021	2,752,719
194	31×2^9088085 − 1	27 August 2024	2,735,788
195	75×2^9079482 + 1	25 July 2023	2,733,199
196	1323365×116^1323365 + 1 ^[71]	18 January 2018	2,732,038
197	57×2^9075622 − 1	7 August 2022	2,732,037
198	10^2718281 − 5×10^1631138 − 5×10^1087142 − 1	6 August 2024	2,718,281
199	63838×5^3887851 − 1 ^[72]	19 June 2022	2,717,497
200	13×2^8989858 + 1	10 March 2020	2,706,219
201	4159×2^8938471 − 1	19 April 2022	2,690,752
202	273809×2^8932416 − 1 ^[73]	13 December 2017	2,688,931
203	93×2^8898285 + 1	4 March 2024	2,678,653
204	2×3^5570081 + 1	14 February 2020	2,657,605
205	25×2^8788628 + 1 ^[74]	1 March 2021	2,645,643
206	2038×366^1028507 − 1 ^[75]	4 April 2016	2,636,562
207	64598×5^3769854 − 1	14 June 2022	2,635,020
208	63×2^8741225 + 1	6 May 2024	2,631,373
209	8×785⁹⁰⁰³²⁵ + 1	4 June 2022	2,606,325
210	17×2^8636199 + 1 ^[76]	17 February 2021	2,599,757
211	75898⁵²⁴²⁸⁸ + 1 ^[77]	19 November 2011	2,558,647
212	25×2^8456828 + 1 ^[78]	27 January 2021	2,545,761
213	39×2^8413422 + 1 ^[79]	23 January 2021	2,532,694
214	31×2^8348000 + 1 ^[80]	19 January 2021	2,513,000
215	27×2^8342438 − 1 ^[81]	1 February 2021	2,511,326
216	3867×2^8261084 − 1	14 April 2021	2,486,838
217	101×2^8152967 + 1	2 December 2023	2,454,290
218	273662×5^3493296 − 1 ^[82]	7 December 2021	2,441,715
219	81×2^8109236 + 1	9 September 2022	2,441,126
220	11×2^8103463 + 1	6 March 2020	2,439,387
221	102818×5^3440382 − 1 ^[83]	8 October 2021	2,404,729
222	11×2^7971110 − 1	25 November 2019	2,399,545
223	27×2^7963247 + 1 ^[84]	14 January 2021	2,397,178
224	3177×2^7954621 − 1	13 June 2021	2,394,584
225	39×2^7946769 + 1 ^[85]	14 January 2021	2,392,218
226	7×6^3072198 + 1	4 August 2019	2,390,636
227	3765×2^7904593 − 1	10 January 2021	2,379,524
228	29×2^7899985 + 1 ^[86]	14 January 2021	2,378,134
229	5113×2^7895471 − 1	27 November 2022	2,376,778
230	861×2^7895451 − 1	21 February 2021	2,376,771
231	75×2^7886683 + 1	4 September 2023	2,374,131
232	2661×2^7861390 − 1	28 December 2024	2,366,518
233	99×2^7830910 + 1	24 April 2024	2,357,341
234	28433×2^7830457 + 1 ^[39]	31 December 2004	2,357,207
235	2589×2^7803339 − 1	21 August 2022	2,349,043
236	59×2^7792307 + 1	24 April 2024	2,345,720
237	101×2^7784453 + 1	24 April 2024	2,343,356
238	95×2^7778585 + 1	24 April 2024	2,341,590
239	8401×2^7767655 − 1	24 April 2023	2,338,302
240	9693×2^7767343 − 1	17 November 2023	2,338,208
241	5×2^7755002 − 1	23 September 2021	2,334,489
242	2945×2^7753232 − 1	27 November 2022	2,333,959
243	2×836⁷⁹⁸⁴³¹ + 1	10 September 2024	2,333,181
244	63×2^7743186 + 1	24 April 2024	2,330,934
245	2545×2^7732265 − 1	13 January 2021	2,327,648
246	5539×2^7730709 − 1	15 January 2021	2,327,180
247	4817×2^7719584 − 1	13 June 2021	2,323,831
248	183×558⁸⁴²⁷⁵² + 1	23 August 2024	2,314,734
249	1341174×53^1341174 + 1 ^[87]	21 August 2017	2,312,561
250	9467×2^7680034 − 1	20 February 2022	2,311,925
251	45×2^7661004 + 1 ^[88]	13 December 2020	2,306,194
252	15×2^7619838 + 1 ^[89]	6 December 2020	2,293,801
253	3597×2^7580693 − 1	10 January 2021	2,282,020
254	5256037# + 1	6 August 2024	2,281,955
255	3129×2^7545557 − 1	14 March 2023	2,271,443
256	7401×2^7523295 − 1	21 February 2021	2,264,742
257	45×2^7513661 + 1 ^[90]	12 November 2020	2,261,839
258	$\Phi _{3}(-558640^{196608})$	11 January 2017	2,259,865
259	2739×2^7483537 − 1	1 May 2025	2,252,773
260	9×2^7479919 − 1	3 June 2023	2,251,681
261	1875×2^7474308 − 1	21 August 2022	2,249,995
262	69×2^7452023 + 1	23 March 2023	2,243,285
263	1281879×2^7447178 + 1	27 December 2023	2,241,831
264	9107×2^7417464 − 1	3 May 2025	2,232,884
265	4×5^3189669 − 1	12 July 2022	2,229,484
266	29×2^7374577 + 1 ^[91]	27 October 2020	2,219,971
267	2653×2^7368343 − 1	18 September 2024	2,218,096
268	21555×2^7364128 − 1	4 September 2024	2,216,828
269	3197×2^7359542 − 1	27 November 2022	2,215,447
270	109838×5^3168862 − 1 ^[92]	13 August 2020	2,214,945
271	95×2^7354869 + 1	25 September 2023	2,214,039
272	101×2^7345194 − 1	5 October 2019	2,211,126
273	85×2^7333444 + 1	25 September 2023	2,207,589
274	15×2^7300254 + 1 ^[93]	25 October 2020	2,197,597
275	422429! + 1	21 February 2022	2,193,027
276	1759×2^7284439 − 1	28 August 2021	2,192,838
277	1909683×14^1909683 + 1	27 May 2023	2,188,748
278	737×2^7269322 − 1	10 August 2017	2,188,287
279	6909×2^7258896 − 1	18 September 2024	2,185,150
280	93×2^7241494 + 1	25 September 2023	2,179,909
281	118568×5^3112069 + 1 ^[94]	1 May 2020	2,175,248
282	4215×2^7221386 − 1	27 December 2024	2,173,858
283	40×257⁹⁰¹⁶³² + 1	11 September 2024	2,172,875
284	1685×2^7213108 − 1	13 April 2025	2,171,366
285	580633×2^7208783 − 1	15 February 2024	2,170,066
286	6039×2^7207973 − 1	24 March 2021	2,169,820
287	502573×2^7181987 − 1 ^[95]	4 October 2014	2,162,000
288	402539×2^7173024 − 1 ^[96]	2 October 2014	2,159,301
289	3343×2^7166019 − 1	29 September 2016	2,157,191
290	4137×2^7132569 − 1	11 April 2025	2,147,121
291	161041×2^7107964 + 1 ^[97]	6 January 2015	2,139,716
292	294×213⁹¹⁸⁹⁵² − 1	19 September 2023	2,139,672
293	27×2^7046834 + 1 ^[98]	11 October 2018	2,121,310
294	1759×2^7046791 − 1	28 August 2021	2,121,299
295	327×2^7044001 − 1	13 January 2021	2,120,459
296	5×2^7037188 − 1	22 September 2021	2,118,406
297	3×2^7033641 + 1 ^[99]	21 February 2011	2,117,338
298	625783×2^7031319 − 1	10 February 2024	2,116,644
299	33661×2^7031232 + 1 ^[39]	30 October 2007	2,116,617
300	$\Phi _{3}(-237804^{196608})$	6 January 2017	2,114,016
301	207494×5^3017502 − 1	16 March 2020	2,109,149
302	15×2^6993631 − 1	25 August 2021	2,105,294
303	8943501×2^6972593 − 1	8 January 2022	2,098,967
304	6020095×2^6972593 − 1	4 September 2022	2,098,967
305	2^6972593 − 1 ^[100]	1 June 1999	2,098,960
306	273×2^6963847 − 1	16 November 2022	2,096,330
307	6219×2^6958945 − 1	7 January 2021	2,094,855
308	51×2^6945567 + 1	26 May 2020	2,090,826
309	8×10^2084563 − 1	1 June 2025	2,084,564
310	3323×2^6921196 − 1	18 September 2024	2,083,492
311	238694×5^2979422 − 1 ^[101]	12 March 2020	2,082,532
312	4×72^1119849 − 1 ^[75]	7 September 2016	2,079,933
313	129×2^6900230 + 1	5 June 2025	2,077,179
314	33×2^6894190 − 1	27 July 2021	2,075,360
315	4778027# − 1	31 July 2024	2,073,926
316	105×2^6884697 + 1	2 June 2025	2,072,503
317	2345×2^6882320 − 1	13 April 2022	2,071,789
318	57×2^6857990 + 1	17 August 2023	2,064,463
319	146264×5^2953282 − 1 ^[102]	9 March 2020	2,064,261
320	69×2^6838971 − 1	1 March 2020	2,058,738
321	35816×5^2945294 − 1 ^[103]	5 March 2020	2,058,677
322	127×2^6836153 − 1	25 June 2018	2,057,890
323	105×2^6835099 + 1	26 May 2025	2,057,572
324	19×2^6833086 + 1 ^[104]	24 October 2020	2,056,966
325	65×2^6810465 + 1	22 September 2023	2,050,157
326	40597×2^6808509 − 1 ^[105]	25 December 2013	2,049,571
327	283×2^6804701 − 1	19 January 2020	2,048,431
328	65136498²⁶²¹⁴⁴ + 1	20 June 2025	2,048,348
329	64989720²⁶²¹⁴⁴ + 1	18 June 2025	2,048,091
330	64074894²⁶²¹⁴⁴ + 1	30 May 2025	2,046,447
331	64010198²⁶²¹⁴⁴ + 1	30 May 2025	2,046,362
332	63833640²⁶²¹⁴⁴ + 1	27 May 2025	2,046,047
333	8×10^2045966 − 1	31 May 2025	2,045,967
334	63784742²⁶²¹⁴⁴ + 1	26 May 2025	2,045,960
335	63558122²⁶²¹⁴⁴ + 1	27 May 2025	2,045,555
336	63448958²⁶²¹⁴⁴ + 1	22 May 2025	2,045,359
337	63286690²⁶²¹⁴⁴ + 1	19 May 2025	2,045,068
338	62767176²⁶²¹⁴⁴ + 1	9 May 2025	2,044,129
339	62747994²⁶²¹⁴⁴ + 1	9 May 2025	2,044,095
340	1861209×2^6789999 + 1	2 December 2020	2,044,000
341	5817×2^6789459 − 1	9 January 2021	2,043,835
342	62311952²⁶²¹⁴⁴ + 1	3 May 2025	2,043,301
343	62199610²⁶²¹⁴⁴ + 1	5 May 2025	2,043,095
344	62152830²⁶²¹⁴⁴ + 1	1 May 2025	2,043,010
345	62136706²⁶²¹⁴⁴ + 1	2 May 2025	2,042,980
346	8435×2^6786180 − 1	7 January 2021	2,042,848
347	61238184²⁶²¹⁴⁴ + 1	21 April 2025	2,041,322
348	119×2^6777781 + 1	18 May 2025	2,040,318
349	59145944²⁶²¹⁴⁴ + 1	29 March 2025	2,037,364
350	58936230²⁶²¹⁴⁴ + 1	28 March 2025	2,036,960
351	58870004²⁶²¹⁴⁴ + 1	28 March 2025	2,036,832
352	58846688²⁶²¹⁴⁴ + 1	28 March 2025	2,036,787
353	58333324²⁶²¹⁴⁴ + 1	28 March 2025	2,035,789
354	58288282²⁶²¹⁴⁴ + 1	28 March 2025	2,035,701
355	57643582²⁶²¹⁴⁴ + 1	28 March 2025	2,034,435
356	57594478²⁶²¹⁴⁴ + 1	28 March 2025	2,034,338
357	57478518²⁶²¹⁴⁴ + 1	28 March 2025	2,034,108
358	57429230²⁶²¹⁴⁴ + 1	27 March 2025	2,034,111
359	51×2^6753404 + 1	26 May 2020	2,032,979
360	93×2^6750726 + 1	18 September 2023	2,032,173
361	56303352²⁶²¹⁴⁴ + 1	27 March 2025	2,031,757
362	56295176²⁶²¹⁴⁴ + 1	26 March 2025	2,031,740
363	55952434²⁶²¹⁴⁴ + 1	26 March 2025	2,031,045
364	55892864²⁶²¹⁴⁴ + 1	27 March 2025	2,030,920
365	69×2^6745775 + 1	21 March 2023	2,030,683
366	55702322²⁶²¹⁴⁴ + 1	27 March 2025	2,030,535
367	55695224²⁶²¹⁴⁴ + 1	25 March 2025	2,030,520
368	55169618²⁶²¹⁴⁴ + 1	25 March 2025	2,029,441
369	55007338²⁶²¹⁴⁴ + 1	25 March 2025	2,029,105
370	54852328²⁶²¹⁴⁴ + 1	25 March 2025	2,028,784
371	54528918²⁶²¹⁴⁴ + 1	26 March 2025	2,028,111
372	54044092²⁶²¹⁴⁴ + 1	24 March 2025	2,027,094
373	53903472²⁶²¹⁴⁴ + 1	24 March 2025	2,026,797
374	53750036²⁶²¹⁴⁴ + 1	24 March 2025	2,026,473
375	53616962²⁶²¹⁴⁴ + 1	28 March 2025	2,026,191
376	53311612²⁶²¹⁴⁴ + 1	24 March 2025	2,025,540
377	53008094²⁶²¹⁴⁴ + 1	23 March 2025	2,024,890
378	52648144²⁶²¹⁴⁴ + 1	21 March 2025	2,024,115
379	52599274²⁶²¹⁴⁴ + 1	20 March 2025	2,024,009
380	52592976²⁶²¹⁴⁴ + 1	21 March 2025	2,023,995
381	117×2^6719464 + 1	10 May 2025	2,022,763
382	51992174²⁶²¹⁴⁴ + 1	16 March 2025	2,022,687
383	51852794²⁶²¹⁴⁴ + 1	14 March 2025	2,022,382
384	51714136²⁶²¹⁴⁴ + 1	13 March 2025	2,022,077
385	51283286²⁶²¹⁴⁴ + 1	9 March 2025	2,021,124
386	51125138²⁶²¹⁴⁴ + 1	7 March 2025	2,020,773
387	9995×2^6711008 − 1	31 December 2020	2,020,219
388	50454356²⁶²¹⁴⁴ + 1	1 March 2025	2,019,269
389	50449664²⁶²¹⁴⁴ + 1	28 February 2025	2,019,259
390	50366208²⁶²¹⁴⁴ + 1	28 February 2025	2,019,070
391	50121532²⁶²¹⁴⁴ + 1	27 February 2025	2,018,516
392	49536902²⁶²¹⁴⁴ + 1	25 February 2025	2,017,180
393	49235348²⁶²¹⁴⁴ + 1	23 February 2025	2,016,485
394	49209090²⁶²¹⁴⁴ + 1	23 February 2025	2,016,424
395	48055302²⁶²¹⁴⁴ + 1	18 February 2025	2,013,723
396	47707672²⁶²¹⁴⁴ + 1	16 February 2025	2,012,896
397	39×2^6684941 + 1 ^[106]	20 October 2020	2,012,370
398	47351862²⁶²¹⁴⁴ + 1	15 February 2025	2,012,044
399	47281922²⁶²¹⁴⁴ + 1	13 February 2025	2,011,876
400	47255958²⁶²¹⁴⁴ + 1	13 February 2025	2,011,813
401	6679881×2^6679881 + 1 ^[107]	25 July 2009	2,010,852
402	46831458²⁶²¹⁴⁴ + 1	11 February 2025	2,010,786
403	46378776²⁶²¹⁴⁴ + 1	8 February 2025	2,009,680
404	45073202²⁶²¹⁴⁴ + 1	21 January 2025	2,006,469
405	45007104²⁶²¹⁴⁴ + 1	19 January 2025	2,006,202
406	44819108²⁶²¹⁴⁴ + 1	14 January 2025	2,005,786
407	44666524²⁶²¹⁴⁴ + 1	12 January 2025	2,005,397
408	37×2^6660841 − 1 ^[75]	30 July 2014	2,005,115
409	44144624²⁶²¹⁴⁴ + 1	29 December 2024	2,004,059
410	44030166²⁶²¹⁴⁴ + 1	30 December 2024	2,003,764
411	43330794²⁶²¹⁴⁴ + 1	3 December 2024	2,001,941
412	39×2^6648997 + 1 ^[108]	20 October 2020	2,001,550
413	42781592²⁶²¹⁴⁴ + 1	18 November 2024	2,000,489
414	10^2000007 − 10^1127194 − 10⁸⁷²⁸¹² − 1	12 January 2024	2,000,007
415	10^2000005 − 10^1051046 − 10⁹⁴⁸⁹⁵⁸ − 1	6 January 2024	2,000,005

Largest known probable primes (PRPs)

These are probable primes. Primality has not been proven because it is too hard for general numbers of this size but they are expected to be primes. F(n) is the nth Fibonacci number.

Rank^[109]	Number	Discovery date	Decimal digits
1	${\tfrac {10^{8177207}-1}{9}}$ ^[109]	8 May 2021	8,177,207
2	${\tfrac {10^{5794777}-1}{9}}$ ^[109]	20 April 2021	5,794,777
3	${\tfrac {2^{15135397}+1}{3}}$ ^[109]	June 2021	4,556,209
4	${\tfrac {3^{8530117}-1}{2}}$ ^[109]	November 2023	4,069,900
5	2^13380298 − 27 ^[109]	March 2021	4,027,872
6	${\tfrac {2^{13372531}+1}{3}}$ ^[109]	September 2013	4,025,533
7	${\tfrac {2^{13347311}+1}{3}}$ ^[109]	September 2013	4,017,941
8	${\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}$ ^[109]	3 July 2022	3,829,294
9	${\tfrac {3^{7973131}-1}{2}}$ ^[109]	November 2023	3,804,150
10	${\tfrac {2^{12588091}-1}{32075464348897282169539424801}}$ ^[109]	10 April 2023	3,789,365
11	${\tfrac {2^{12503723}-2^{6251862}+1}{5}}$ ^[109]	July 2020	3,763,995
12	${\tfrac {5^{5154509}-1}{4}}$ ^[109]	February 2024	3,602,847
13	${\tfrac {5^{4939471}-1}{4}}$ ^[109]	January 2024	3,452,542
14	${\tfrac {3^{7034611}+1}{4}}$ ^[109]	December 2024	3,356,362
15	${\tfrac {2^{10443557}-1}{37289325994807}}$ ^[109]	9 July 2020	3,143,811
16	2^9092392 + 40291 ^[109]	February 2011	2,737,083
17	${\tfrac {14^{2307467}+1}{15}}$ ^[109]	June 2025	2,644,652
18	${\tfrac {6^{3360347}-1}{5}}$ ^[109]	October 2023	2,614,858
19	${\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}$ ^[109]	3 June 2024	2,482,834
20	${\tfrac {17^{1990523}-1}{16}}$ ^[109]	August 2020	2,449,236
21	${\tfrac {35963^{524288}+1}{2}}$ ^[109]	August 2022	2,388,581
22	500186⁵⁴⁴⁶⁵ + 54465⁵⁰⁰¹⁸⁶ ^[109]	August 2024	2,368,940
23	${\tfrac {11^{2264611}+1}{12}}$ ^[109]	July 2021	2,358,349
24	${\tfrac {5^{3300593}-1}{4}}$ ^[109]	February 2022	2,307,015
25	${\tfrac {3^{4694803}+2^{4694803}}{5}}$ ^[109]	December 2023	2,239,990
26	${\tfrac {2^{7313983}-1}{305492080276193}}$ ^[109]	1 March 2018	2,201,714
27	${\tfrac {3^{4571447}+2^{4571447}}{5}}$ ^[109]	December 2023	2,181,134
28	${\tfrac {15^{1848811}+1}{16}}$ ^[109]	July 2024	2,174,370
29	F(10367321) ^[109]	10 August 2024	2,166,642
30	${\tfrac {15^{1841911}+1}{16}}$ ^[109]	July 2024	2,166,255
31	3^4532794 + 4532794³ ^[109]	October 2023	2,162,693
32	F(10317107) ^[109]	27 July 2024	2,156,148
33	${\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}$ ^[109]	27 October 2017	2,131,318
34	360834³⁵⁶³⁴⁵ + 356345³⁶⁰⁸³⁴ ^[109]	February 2024	2,003,304
35	360339³⁵⁶⁵⁷² + 356572³⁶⁰³³⁹ ^[109]	May 2024	2,000,656

References

^ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.
^ The known primes with 2,000,000 digits or more
^ "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.
^ "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.
^ "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.
^ "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.
^ "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ ^a ^b "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.
^ "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.
^ "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.
^ "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 10223×2^31172165 + 1, PrimeGrid
^ "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 4052186×69^4052186 + 1, PrimeGrid
^ "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 3×2^23157875 − 1, PrimeGrid
^ Official announcement of discovery of 3843236^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^22103376 − 1, PrimeGrid
^ Official announcement of discovery of 1963736^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 1951734^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 202705×2^21320516 + 1, PrimeGrid
^ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 1059094^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^20928756 − 1, PrimeGrid
^ Official announcement of discovery of 919444^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 168451×2^19375200 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^18924888 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^18196595 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^17748034 − 1, PrimeGrid
^ Official announcement of discovery of 8508301×2^17016603 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^16819291 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^16408818 + 1, PrimeGrid
^ Official announcement of discovery of 2525332×73^2525332 + 1, PrimeGrid
^ Official announcement of discovery of 99739×2^14019102 + 1, PrimeGrid
^ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 2805222×5^5610444 + 1, PrimeGrid
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k Chris Caldwell, The Largest Known Primes at The PrimePages.
^ Official announcement of discovery of 67612×5^5501582 + 1, PrimeGrid
^ Official announcement of discovery of 13520762⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 13427472⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 12900356⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 12693488⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 11937916⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 10913140⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 9332124⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 8630170⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^11895718−1, PrimeGrid
^ Official announcement of discovery of 6339004⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^11731850 − 1, PrimeGrid
^ Official announcement of discovery of 4896418⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^11484018 − 1, PrimeGrid
^ Official announcement of discovery of 193997×2^11452891 + 1, PrimeGrid
^ Official announcement of discovery of 3638450⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 9221×2^11392194 − 1, PrimeGrid
^ Official announcement of discovery of 3214654⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 146561×2^11280802 − 1, PrimeGrid
^ Official announcement of discovery of 2985036⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2877652⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2788032⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2733014⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2312092⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2061748⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 1880370⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^10829346 + 1, PrimeGrid
^ Official announcement of discovery of 475856⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 356926⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 341112⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 121×2^9584444 + 1, PrimeGrid
^ Official announcement of discovery of 1323365×116^1323365 + 1, PrimeGrid
^ Official announcement of discovery of 63838×5^3887851 − 1, PrimeGrid
^ Official announcement of discovery of 273809×2^8932416 − 1, PrimeGrid
^ Official announcement of discovery of 25×2^8788628 + 1, PrimeGrid
^ ^a ^b ^c "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
^ Official announcement of discovery of 17×2^8636199 + 1, PrimeGrid
^ Official announcement of discovery of 75898⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 25×2^8456828 + 1, PrimeGrid
^ Official announcement of discovery of 39×2^8413822 + 1, PrimeGrid
^ Official announcement of discovery of 31×2^8348000 + 1, PrimeGrid
^ Official announcement of discovery of 27×2^8342438 − 1, PrimeGrid
^ Official announcement of discovery of 273662×5^3493296 + 1, PrimeGrid
^ 102818×5^3440382 − 1, PrimeGrid
^ Official announcement of discovery of 27×2^7963247 + 1, PrimeGrid
^ Official announcement of discovery of 39×2^7946769 + 1, PrimeGrid
^ Official announcement of discovery of 29×2^7899985 + 1, PrimeGrid
^ Official announcement of discovery of 1341174×53^1341174 + 1, PrimeGrid
^ Official announcement of discovery of 45×2^7661004 + 1, PrimeGrid
^ Official announcement of discovery of 15×2^7619838 + 1, PrimeGrid
^ Official announcement of discovery of 45×2^7513661 + 1, PrimeGrid
^ Official announcement of discovery of 29×2^7374577 + 1, PrimeGrid
^ 109838×5^3168862 − 1, PrimeGrid
^ Official announcement of discovery of 29×2^7300254 + 1, PrimeGrid
^ 118568×5^3112069 + 1, PrimeGrid
^ Official announcement of discovery of 502573×2^7181987 − 1, PrimeGrid
^ Official announcement of discovery of 402539×2^7173024 − 1, PrimeGrid
^ Official announcement of discovery of 161041×2^7107964 + 1, PrimeGrid
^ Official announcement of discovery of 27×2^7046834 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^7033641 + 1, PrimeGrid
^ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
^ 238694×5^2979422 − 1, PrimeGrid
^ 146264×5^2953282 − 1, PrimeGrid
^ 35816×5^2945294 − 1, PrimeGrid
^ Official announcement of discovery of 19×2^6833086 + 1, PrimeGrid
^ Official announcement of discovery of 40597×2^6808509 − 1, PrimeGrid
^ Official announcement of discovery of 39×2^6684941 + 1, PrimeGrid
^ Official announcement of discovery of 6679881×2^6679881 + 1, PrimeGrid
^ Official announcement of discovery of 39×2^6648997 + 1, PrimeGrid
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

External links

Chris Caldwell, The Largest Known Primes Database at The PrimePages
The 5000 largest known primes at The PrimePages
The 10,000 largest known probable primes at primenumbers.net
PrimeGrid’s 321 Prime Search, about the discovery of 3×2^6090515−1

[1] Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.

[2] The known primes with 2,000,000 digits or more

[3] "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.

[4] "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.

[5] "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.

[6] "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.

[7] "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[4546prime-8] "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.

[9] "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[10] "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.

[11] "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.

[12] "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[13] Official announcement of discovery of 10223×2^31172165 + 1, PrimeGrid

[14] "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[15] "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[16] Official announcement of discovery of 4052186×69^4052186 + 1, PrimeGrid

[17] "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[18] Official announcement of discovery of 3×2^23157875 − 1, PrimeGrid

[19] Official announcement of discovery of 3843236^1048576 + 1, PrimeGrid

[20] Official announcement of discovery of 3×2^22103376 − 1, PrimeGrid

[21] Official announcement of discovery of 1963736^1048576 + 1, PrimeGrid

[22] Official announcement of discovery of 1951734^1048576 + 1, PrimeGrid

[23] Official announcement of discovery of 202705×2^21320516 + 1, PrimeGrid

[24] "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[25] Official announcement of discovery of 1059094^1048576 + 1, PrimeGrid

[26] Official announcement of discovery of 3×2^20928756 − 1, PrimeGrid

[27] Official announcement of discovery of 919444^1048576 + 1, PrimeGrid

[28] Official announcement of discovery of 168451×2^19375200 + 1, PrimeGrid

[29] Official announcement of discovery of 3×2^18924888 − 1, PrimeGrid

[30] Official announcement of discovery of 3×2^18196595 − 1, PrimeGrid

[31] Official announcement of discovery of 3×2^17748034 − 1, PrimeGrid

[32] Official announcement of discovery of 8508301×2^17016603 − 1, PrimeGrid

[33] Official announcement of discovery of 3×2^16819291 − 1, PrimeGrid

[34] Official announcement of discovery of 3×2^16408818 + 1, PrimeGrid

[35] Official announcement of discovery of 2525332×73^2525332 + 1, PrimeGrid

[36] Official announcement of discovery of 99739×2^14019102 + 1, PrimeGrid

[37] "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[38] Official announcement of discovery of 2805222×5^5610444 + 1, PrimeGrid

[The_largest_known_primes-39] ^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k Chris Caldwell, The Largest Known Primes at The PrimePages.

[40] Official announcement of discovery of 67612×5^5501582 + 1, PrimeGrid

[41] Official announcement of discovery of 13520762⁵²⁴²⁸⁸ + 1, PrimeGrid

[42] Official announcement of discovery of 13427472⁵²⁴²⁸⁸ + 1, PrimeGrid

[43] Official announcement of discovery of 12900356⁵²⁴²⁸⁸ + 1, PrimeGrid

[44] Official announcement of discovery of 12693488⁵²⁴²⁸⁸ + 1, PrimeGrid

[45] Official announcement of discovery of 11937916⁵²⁴²⁸⁸ + 1, PrimeGrid

[46] Official announcement of discovery of 10913140⁵²⁴²⁸⁸ + 1, PrimeGrid

[47] Official announcement of discovery of 9332124⁵²⁴²⁸⁸ + 1, PrimeGrid

[48] Official announcement of discovery of 8630170⁵²⁴²⁸⁸ + 1, PrimeGrid

[49] Official announcement of discovery of 3×2^11895718−1, PrimeGrid

[50] Official announcement of discovery of 6339004⁵²⁴²⁸⁸ + 1, PrimeGrid

[51] Official announcement of discovery of 3×2^11731850 − 1, PrimeGrid

[52] Official announcement of discovery of 4896418⁵²⁴²⁸⁸ + 1, PrimeGrid

[53] Official announcement of discovery of 3×2^11484018 − 1, PrimeGrid

[54] Official announcement of discovery of 193997×2^11452891 + 1, PrimeGrid

[55] Official announcement of discovery of 3638450⁵²⁴²⁸⁸ + 1, PrimeGrid

[56] Official announcement of discovery of 9221×2^11392194 − 1, PrimeGrid

[57] Official announcement of discovery of 3214654⁵²⁴²⁸⁸ + 1, PrimeGrid

[58] Official announcement of discovery of 146561×2^11280802 − 1, PrimeGrid

[59] Official announcement of discovery of 2985036⁵²⁴²⁸⁸ + 1, PrimeGrid

[60] Official announcement of discovery of 2877652⁵²⁴²⁸⁸ + 1, PrimeGrid

[61] Official announcement of discovery of 2788032⁵²⁴²⁸⁸ + 1, PrimeGrid

[62] Official announcement of discovery of 2733014⁵²⁴²⁸⁸ + 1, PrimeGrid

[63] Official announcement of discovery of 2312092⁵²⁴²⁸⁸ + 1, PrimeGrid

[64] Official announcement of discovery of 2061748⁵²⁴²⁸⁸ + 1, PrimeGrid

[65] Official announcement of discovery of 1880370⁵²⁴²⁸⁸ + 1, PrimeGrid

[66] Official announcement of discovery of 3×2^10829346 + 1, PrimeGrid

[67] Official announcement of discovery of 475856⁵²⁴²⁸⁸ + 1, PrimeGrid

[68] Official announcement of discovery of 356926⁵²⁴²⁸⁸ + 1, PrimeGrid

[69] Official announcement of discovery of 341112⁵²⁴²⁸⁸ + 1, PrimeGrid

[70] Official announcement of discovery of 121×2^9584444 + 1, PrimeGrid

[71] Official announcement of discovery of 1323365×116^1323365 + 1, PrimeGrid

[72] Official announcement of discovery of 63838×5^3887851 − 1, PrimeGrid

[73] Official announcement of discovery of 273809×2^8932416 − 1, PrimeGrid

[74] Official announcement of discovery of 25×2^8788628 + 1, PrimeGrid

[GSRP-75] "CRUS - Proven Conjectures". www.noprimeleftbehind.net.

[76] Official announcement of discovery of 17×2^8636199 + 1, PrimeGrid

[77] Official announcement of discovery of 75898⁵²⁴²⁸⁸ + 1, PrimeGrid

[78] Official announcement of discovery of 25×2^8456828 + 1, PrimeGrid

[79] Official announcement of discovery of 39×2^8413822 + 1, PrimeGrid

[80] Official announcement of discovery of 31×2^8348000 + 1, PrimeGrid

[81] Official announcement of discovery of 27×2^8342438 − 1, PrimeGrid

[82] Official announcement of discovery of 273662×5^3493296 + 1, PrimeGrid

[83] 102818×5^3440382 − 1, PrimeGrid

[84] Official announcement of discovery of 27×2^7963247 + 1, PrimeGrid

[85] Official announcement of discovery of 39×2^7946769 + 1, PrimeGrid

[86] Official announcement of discovery of 29×2^7899985 + 1, PrimeGrid

[87] Official announcement of discovery of 1341174×53^1341174 + 1, PrimeGrid

[88] Official announcement of discovery of 45×2^7661004 + 1, PrimeGrid

[89] Official announcement of discovery of 15×2^7619838 + 1, PrimeGrid

[90] Official announcement of discovery of 45×2^7513661 + 1, PrimeGrid

[91] Official announcement of discovery of 29×2^7374577 + 1, PrimeGrid

[92] 109838×5^3168862 − 1, PrimeGrid

[93] Official announcement of discovery of 29×2^7300254 + 1, PrimeGrid

[94] 118568×5^3112069 + 1, PrimeGrid

[95] Official announcement of discovery of 502573×2^7181987 − 1, PrimeGrid

[96] Official announcement of discovery of 402539×2^7173024 − 1, PrimeGrid

[97] Official announcement of discovery of 161041×2^7107964 + 1, PrimeGrid

[98] Official announcement of discovery of 27×2^7046834 + 1, PrimeGrid

[99] Official announcement of discovery of 3×2^7033641 + 1, PrimeGrid

[1stmegaprime-100] GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.

[101] 238694×5^2979422 − 1, PrimeGrid

[102] 146264×5^2953282 − 1, PrimeGrid

[103] 35816×5^2945294 − 1, PrimeGrid

[104] Official announcement of discovery of 19×2^6833086 + 1, PrimeGrid

[105] Official announcement of discovery of 40597×2^6808509 − 1, PrimeGrid

[106] Official announcement of discovery of 39×2^6684941 + 1, PrimeGrid

[107] Official announcement of discovery of 6679881×2^6679881 + 1, PrimeGrid

[108] Official announcement of discovery of 39×2^6648997 + 1, PrimeGrid

[PRPTop-109] ^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

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List of largest known primes and probable primes

Largest known primes

Largest known probable primes (PRPs)

See also

References

External links

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