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	3843236^1048576 + 1 ^[18]	17 December 2024	6,904,556
21	3×2^22103376 − 1 ^[19]	30 September 2024	6,653,780
22	1963736^1048576 + 1 ^[20]	24 September 2022	6,598,776
23	1951734^1048576 + 1 ^[21]	9 August 2022	6,595,985
24	202705×2^21320516 + 1 ^[22]	25 November 2021	6,418,121
25	2^20996011 − 1 ^[23]	17 November 2003	6,320,430
26	1059094^1048576 + 1 ^[24]	31 October 2018	6,317,602
27	3×2^20928756 − 1 ^[25]	5 July 2023	6,300,184
28	919444^1048576 + 1 ^[26]	29 August 2017	6,253,210
29	81×2^20498148 + 1	13 June 2023	6,170,560
30	7×2^20267500 + 1	21 July 2022	6,101,127
31	4×5^8431178 + 1	2 January 2024	5,893,142
32	168451×2^19375200 + 1 ^[27]	17 September 2017	5,832,522
33	69×2^19374980 − 1	3 July 2022	5,832,452
34	3×2^18924888 − 1 ^[28]	24 March 2022	5,696,990
35	69×2^18831865 − 1	16 December 2021	5,668,959
36	2×3^11879700 + 1	22 June 2024	5,668,058
37	97139×2^18397548 − 1	23 April 2023	5,538,219
38	7×2^18233956 + 1	1 October 2020	5,488,969
39	3×2^18196595 − 1 ^[29]	8 January 2022	5,477,722
40	4×3^11279466 + 1	10 September 2024	5,381,674
41	3×2^17748034 − 1 ^[30]	6 September 2021	5,342,692
42	$\Phi _{3}(-123447^{524288})$	23 February 2017	5,338,805
43	3622×5^7558139 − 1	18 February 2022	5,282,917
44	7×6^6772401 + 1	9 September 2019	5,269,954
45	2×3^10852677 + 1	8 January 2023	5,178,044
46	8508301×2^17016603 − 1 ^[31]	21 March 2018	5,122,515
47	8×10^5112848 − 1	30 January 2024	5,112,848
48	13×2^16828072 + 1	11 October 2023	5,065,756
49	3×2^16819291 − 1 ^[32]	20 January 2021	5,063,112
50	5287180×3^10574360 − 1	3 November 2024	5,045,259
51	3×2^16408818 + 1 ^[33]	25 October 2020	4,939,547
52	2329989×2^16309923 − 1	13 February 2024	4,909,783
53	69×2^15866556 + 1	20 August 2021	4,776,312
54	2036×3^10009192 + 1	15 February 2024	4,775,602
55	2525332×73^2525332 + 1 ^[34]	28 August 2021	4,705,888
56	1419499×2^15614489 + 1	9 February 2024	4,700,436
57	11×2^15502315 + 1	8 January 2023	4,666,663
58	(10^2332974 + 1)² − 2	20 February 2024	4,665,949
59	37×2^15474010 + 1	8 November 2022	4,658,143
60	93839×2^15337656 − 1	28 November 2022	4,617,100
61	2^15317227+2^7658614 + 1	31 July 2020	4,610,945
62	13×2^15294536 + 1	30 September 2023	4,604,116
63	6×5^6546983 + 1	13 June 2020	4,576,146
64	4788920×3^9577840 − 1	14 February 2024	4,569,798
65	31×2^15145093 − 1	9 February 2025	4,559,129
66	69×2^14977631 − 1	3 December 2021	4,508,719
67	192971×2^14773498 − 1	7 March 2021	4,447,272
68	4×3^9214845 + 1	10 September 2024	4,396,600
69	9145334×3^9145334 + 1	25 December 2023	4,363,441
70	4×5^6181673 − 1	15 July 2022	4,320,805
71	396101×2^14259638 − 1	3 February 2024	4,292,585
72	6962×31^2863120 − 1	29 February 2020	4,269,952
73	37×2^14166940 + 1	24 June 2022	4,264,676
74	99739×2^14019102 − 1 ^[35]	24 December 2019	4,220,176
75	69×2^13832885 − 1	17 January 2022	4,164,116
76	404849×2^13764867 + 1	10 March 2021	4,143,644
77	25×2^13719266 + 1	20 September 2022	4,129,912
78	81×2^13708272 + 1	11 October 2022	4,126,603
79	2740879×2^13704395 − 1	26 October 2019	4,125,441
80	479216×3^8625889 − 1	16 November 2019	4,115,601
81	31×2^13514933 − 1	9 February 2025	4,068,402
82	$\Phi _{3}(-143332^{393216})$	30 January 2017	4,055,114
83	81×2^13470584 + 1	9 October 2022	4,055,052
84	2^13466917 − 1 ^[36]	14 November 2001	4,053,946
85	5778486×5^5778486 + 1	15 August 2024	4,038,996
86	9×2^13334487 + 1	31 March 2020	4,014,082
87	206039×2^13104952 − 1	26 April 2021	3,944,989
88	2805222×5^5610444 + 1 ^[37]	2 September 2019	3,921,539
89	5128×22^2919993 + 1	5 December 2024	3,919,869
90	19249×2^13018586 + 1 ^[38]	26 March 2007	3,918,990
91	2293×2^12918431 − 1	13 February 2021	3,888,839
92	81×2^12804541 + 1	19 September 2022	3,854,553
93	67612×5^5501582 + 1 ^[39]	8 April 2025	3,845,446
94	4×5^5380542 + 1	22 February 2023	3,760,839
95	13520762⁵²⁴²⁸⁸ + 1 ^[40]	25 February 2025	3,738,699
96	13427472⁵²⁴²⁸⁸ + 1 ^[41]	3 March 2025	3,737,122
97	9×2^12406887 + 1	29 March 2020	3,734,847
98	12900356⁵²⁴²⁸⁸ + 1 ^[42]	22 January 2025	3,728,004
99	12693488⁵²⁴²⁸⁸ + 1 ^[43]	6 January 2025	3,724,323
100	11937916⁵²⁴²⁸⁸ + 1 ^[44]	5 October 2024	3,710,349
101	7×2^12286041 − 1	10 June 2023	3,698,468
102	10913140⁵²⁴²⁸⁸ + 1 ^[45]	19 June 2024	3,689,913
103	69×2^12231580 − 1	27 July 2021	3,682,075
104	27×2^12184319 + 1	6 February 2021	3,667,847
105	9332124⁵²⁴²⁸⁸ + 1 ^[46]	22 June 2024	3,654,278
106	8630170⁵²⁴²⁸⁸ + 1 ^[47]	13 April 2024	3,636,472
107	863282×5^5179692 − 1	17 October 2024	3,620,456
108	670490×12^3352450 − 1	17 October 2024	3,617,907
109	4×3^7578378 + 1	9 September 2024	3,615,806
110	11×2^11993994 − 1	15 August 2024	3,610,554
111	3761×2^11978874 − 1	6 July 2022	3,606,004
112	95×2^11954552 − 1	28 May 2024	3,598,681
113	259072×5^5136295 − 1	28 October 2024	3,590,122
114	3×2^11895718 − 1 ^[48]	23 June 2015	3,580,969
115	37×2^11855148 + 1	30 May 2022	3,568,757
116	6339004⁵²⁴²⁸⁸ + 1 ^[49]	8 June 2023	3,566,218
117	763795×6^4582771 + 1	11 December 2023	3,566,095
118	5897794⁵²⁴²⁸⁸ + 1 ^[38]	18 December 2022	3,549,792
119	3×2^11731850 − 1 ^[50]	13 March 2015	3,531,640
120	69×2^11718455 − 1 ^[38]	4 December 2020	3,527,609
121	8629×2^11708579 − 1	19 September 2024	3,524,638
122	41×2^11676439 + 1 ^[38]	20 June 2022	3,514,960
123	4896418⁵²⁴²⁸⁸ + 1 ^[51]	15 May 2022	3,507,424
124	81×2^11616017 + 1 ^[38]	30 August 2022	3,496,772
125	69×2^11604348 − 1 ^[38]	4 December 2020	3,493,259
126	4450871×6^4450871 + 1 ^[38]	17 September 2023	3,463,458
127	9×2^11500843 + 1 ^[38]	13 March 2020	3,462,100
128	3×2^11484018 − 1 ^[52]	22 November 2014	3,457,035
129	193997×2^11452891 + 1 ^[53]	3 April 2018	3,447,670
130	29914×5^4930904 + 1	27 September 2024	3,446,559
131	3638450⁵²⁴²⁸⁸ + 1 ^[54]	29 May 2020	3,439,810
132	9221×2^11392194 − 1 ^[55]	7 February 2021	3,429,397
133	9×2^11366286 + 1	26 March 2020	3,421,594
134	5×2^11355764 − 1	2 October 2021	3,418,427
135	732050×6^4392301 + 1	9 September 2023	3,417,881
136	3214654⁵²⁴²⁸⁸ + 1 ^[56]	24 December 2019	3,411,613
137	632760! − 1	20 October 2024	3,395,992
138	146561×2^11280802 − 1 ^[57]	16 November 2020	3,395,865
139	51208×5^4857576 + 1	6 June 2024	3,395,305
140	2985036⁵²⁴²⁸⁸ + 1 ^[58]	18 September 2019	3,394,739
141	4591×2^11270837 − 1	2 January 2025	3,392,864
142	6929×2^11255424 − 1	7 July 2022	3,388,225
143	2877652⁵²⁴²⁸⁸ + 1 ^[59]	29 June 2019	3,386,397
144	2788032⁵²⁴²⁸⁸ + 1 ^[60]	17 April 2019	3,379,193
145	2733014⁵²⁴²⁸⁸ + 1 ^[61]	18 March 2019	3,374,655
146	9×2^11158963 + 1	13 March 2020	3,359,184
147	9271×2^11134335 − 1	17 January 2021	3,351,773
148	136804×5^4777253 − 1	1 March 2024	3,339,162
149	2312092⁵²⁴²⁸⁸ + 1 ^[62]	4 August 2018	3,336,572
150	987324×48^1974648 − 1	12 October 2024	3,319,866
151	2061748⁵²⁴²⁸⁸ + 1 ^[63]	20 March 2018	3,310,478
152	1880370⁵²⁴²⁸⁸ + 1 ^[64]	15 January 2018	3,289,511
153	27×2^10902757 − 1	7 March 2022	3,282,059
154	3×2^10829346 + 1 ^[65]	14 January 2014	3,259,959
155	11×2^10803449 + 1	29 May 2022	3,252,164
156	11×2^10797109 + 1	29 May 2022	3,250,255
157	7×2^10612737 − 1	19 May 2022	3,194,154
158	7351117# + 1	14 September 2024	3,191,401
159	37×2^10599476 + 1	17 June 2022	3,190,762
160	5×2^10495620 − 1	26 September 2021	3,159,498
161	${\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}$	30 June 2023	3,153,105
162	5×2^10349000 − 1	26 September 2021	3,115,361
163	$\Phi _{3}(-844833^{262144})$	17 January 2017	3,107,335
164	52922×5^4399812 − 1	3 August 2023	3,075,342
165	$\Phi _{3}(-712012^{262144})$	14 January 2017	3,068,389
166	177742×5^4386703 − 1	24 July 2023	3,066,180
167	4×3^6402015 + 1	9 September 2024	3,054,539
168	874208×54^1748416 − 1	26 September 2019	3,028,951
169	475856⁵²⁴²⁸⁸ + 1 ^[66]	8 August 2012	2,976,633
170	2×3^6236772 + 1	20 December 2022	2,975,697
171	15×3^9830108 + 1	19 August 2023	2,959,159
172	9×2^9778263 + 1	5 August 2020	2,943,552
173	198×558^1061348 + 1	30 August 2024	2,915,138
174	1806676×41^1806676 + 1	11 March 2018	2,913,785
175	356926⁵²⁴²⁸⁸ + 1 ^[67]	20 June 2012	2,911,151
176	341112⁵²⁴²⁸⁸ + 1 ^[68]	15 June 2012	2,900,832
177	213988×5^4138363 − 1	29 November 2022	2,892,597
178	43×2^9596983 − 1	28 February 2022	2,888,982
179	121×2^9584444 + 1 ^[69]	18 November 2020	2,885,208
180	15×2^9482269 − 1	14 August 2024	2,854,449
181	6533299# − 1	18 August 2024	2,835,864
182	11×2^9381365 + 1	7 March 2020	2,824,074
183	15×2^9312889 + 1	7 August 2023	2,803,461
184	97×2^9305542 + 1	10 May 2025	2,801,250
185	93×2^9235048 + 1	7 May 2025	2,780,029
186	49×2^9187790 + 1	11 September 2022	2,765,803
187	6369619# + 1	12 August 2024	2,765,105
188	27653×2^9167433 + 1 ^[38]	8 June 2005	2,759,677
189	6354977# − 1	12 August 2024	2,758,832
190	90527×2^9162167 + 1	30 June 2010	2,758,093
191	6795×2^9144320 − 1	31 March 2021	2,752,719
192	31×2^9088085 − 1	27 August 2024	2,735,788
193	75×2^9079482 + 1	25 July 2023	2,733,199
194	1323365×116^1323365 + 1 ^[70]	18 January 2018	2,732,038
195	57×2^9075622 − 1	7 August 2022	2,732,037
196	10^2718281 − 5×10^1631138 − 5×10^1087142 − 1	6 August 2024	2,718,281
197	63838×5^3887851 − 1 ^[71]	19 June 2022	2,717,497
198	13×2^8989858 + 1	10 March 2020	2,706,219
199	4159×2^8938471 − 1	19 April 2022	2,690,752
200	273809×2^8932416 − 1 ^[72]	13 December 2017	2,688,931
201	93×2^8898285 + 1	4 March 2024	2,678,653
202	2×3^5570081 + 1	14 February 2020	2,657,605
203	25×2^8788628 + 1 ^[73]	1 March 2021	2,645,643
204	2038×366^1028507 − 1 ^[74]	4 April 2016	2,636,562
205	64598×5^3769854 − 1	14 June 2022	2,635,020
206	63×2^8741225 + 1	6 May 2024	2,631,373
207	8×785⁹⁰⁰³²⁵ + 1	4 June 2022	2,606,325
208	17×2^8636199 + 1 ^[75]	17 February 2021	2,599,757
209	75898⁵²⁴²⁸⁸ + 1 ^[76]	19 November 2011	2,558,647
210	25×2^8456828 + 1 ^[77]	27 January 2021	2,545,761
211	39×2^8413422 + 1 ^[78]	23 January 2021	2,532,694
212	31×2^8348000 + 1 ^[79]	19 January 2021	2,513,000
213	27×2^8342438 − 1 ^[80]	1 February 2021	2,511,326
214	3867×2^8261084 − 1	14 April 2021	2,486,838
215	101×2^8152967 + 1	2 December 2023	2,454,290
216	273662×5^3493296 − 1 ^[81]	7 December 2021	2,441,715
217	81×2^8109236 + 1	9 September 2022	2,441,126
218	11×2^8103463 + 1	6 March 2020	2,439,387
219	102818×5^3440382 − 1 ^[82]	8 October 2021	2,404,729
220	11×2^7971110 − 1	25 November 2019	2,399,545
221	27×2^7963247 + 1 ^[83]	14 January 2021	2,397,178
222	3177×2^7954621 − 1	13 June 2021	2,394,584
223	39×2^7946769 + 1 ^[84]	14 January 2021	2,392,218
224	7×6^3072198 + 1	4 August 2019	2,390,636
225	3765×2^7904593 − 1	10 January 2021	2,379,524
226	29×2^7899985 + 1 ^[85]	14 January 2021	2,378,134
227	5113×2^7895471 − 1	27 November 2022	2,376,778
228	861×2^7895451 − 1	21 February 2021	2,376,771
229	75×2^7886683 + 1	4 September 2023	2,374,131
230	2661×2^7861390 − 1	28 December 2024	2,366,518
231	99×2^7830910 + 1	24 April 2024	2,357,341
232	28433×2^7830457 + 1 ^[38]	31 December 2004	2,357,207
233	2589×2^7803339 − 1	21 August 2022	2,349,043
234	59×2^7792307 + 1	24 April 2024	2,345,720
235	101×2^7784453 + 1	24 April 2024	2,343,356
236	95×2^7778585 + 1	24 April 2024	2,341,590
237	8401×2^7767655 − 1	24 April 2023	2,338,302
238	9693×2^7767343 − 1	17 November 2023	2,338,208
239	5×2^7755002 − 1	23 September 2021	2,334,489
240	2945×2^7753232 − 1	27 November 2022	2,333,959
241	2×836⁷⁹⁸⁴³¹ + 1	10 September 2024	2,333,181
242	63×2^7743186 + 1	24 April 2024	2,330,934
243	2545×2^7732265 − 1	13 January 2021	2,327,648
244	5539×2^7730709 − 1	15 January 2021	2,327,180
245	4817×2^7719584 − 1	13 June 2021	2,323,831
246	183×558⁸⁴²⁷⁵² + 1	23 August 2024	2,314,734
247	1341174×53^1341174 + 1 ^[86]	21 August 2017	2,312,561
248	9467×2^7680034 − 1	20 February 2022	2,311,925
249	45×2^7661004 + 1 ^[87]	13 December 2020	2,306,194
250	15×2^7619838 + 1 ^[88]	6 December 2020	2,293,801
251	3597×2^7580693 − 1	10 January 2021	2,282,020
252	5256037# + 1	6 August 2024	2,281,955
253	3129×2^7545557 − 1	14 March 2023	2,271,443
254	7401×2^7523295 − 1	21 February 2021	2,264,742
255	45×2^7513661 + 1 ^[89]	12 November 2020	2,261,839
256	$\Phi _{3}(-558640^{196608})$	11 January 2017	2,259,865
257	2739×2^7483537 − 1	1 May 2025	2,252,773
258	9×2^7479919 − 1	3 June 2023	2,251,681
259	1875×2^7474308 − 1	21 August 2022	2,249,995
260	69×2^7452023 + 1	23 March 2023	2,243,285
261	1281879×2^7447178 + 1	27 December 2023	2,241,831
262	9107×2^7417464 − 1	3 May 2025	2,232,884
263	4×5^3189669 − 1	12 July 2022	2,229,484
264	29×2^7374577 + 1 ^[90]	27 October 2020	2,219,971
265	2653×2^7368343 − 1	18 September 2024	2,218,096
266	21555×2^7364128 − 1	4 September 2024	2,216,828
267	3197×2^7359542 − 1	27 November 2022	2,215,447
268	109838×5^3168862 − 1 ^[91]	13 August 2020	2,214,945
269	95×2^7354869 + 1	25 September 2023	2,214,039
270	101×2^7345194 − 1	5 October 2019	2,211,126
271	85×2^7333444 + 1	25 September 2023	2,207,589
272	15×2^7300254 + 1 ^[92]	25 October 2020	2,197,597
273	422429! + 1	21 February 2022	2,193,027
274	1759×2^7284439 − 1	28 August 2021	2,192,838
275	1909683×14^1909683 + 1	27 May 2023	2,188,748
276	737×2^7269322 − 1	10 August 2017	2,188,287
277	6909×2^7258896 − 1	18 September 2024	2,185,150
278	93×2^7241494 + 1	25 September 2023	2,179,909
279	118568×5^3112069 + 1 ^[93]	1 May 2020	2,175,248
280	4215×2^7221386 − 1	27 December 2024	2,173,858
281	40×257⁹⁰¹⁶³² + 1	11 September 2024	2,172,875
282	1685×2^7213108 − 1	13 April 2025	2,171,366
283	580633×2^7208783 − 1	15 February 2024	2,170,066
284	6039×2^7207973 − 1	24 March 2021	2,169,820
285	502573×2^7181987 − 1 ^[94]	4 October 2014	2,162,000
286	402539×2^7173024 − 1 ^[95]	2 October 2014	2,159,301
287	3343×2^7166019 − 1	29 September 2016	2,157,191
288	4137×2^7132569 − 1	11 April 2025	2,147,121
289	161041×2^7107964 + 1 ^[96]	6 January 2015	2,139,716
290	294×213⁹¹⁸⁹⁵² − 1	19 September 2023	2,139,672
291	27×2^7046834 + 1 ^[97]	11 October 2018	2,121,310
292	1759×2^7046791 − 1	28 August 2021	2,121,299
293	327×2^7044001 − 1	13 January 2021	2,120,459
294	5×2^7037188 − 1	22 September 2021	2,118,406
295	3×2^7033641 + 1 ^[98]	21 February 2011	2,117,338
296	625783×2^7031319 − 1	10 February 2024	2,116,644
297	33661×2^7031232 + 1 ^[38]	30 October 2007	2,116,617
298	$\Phi _{3}(-237804^{196608})$	6 January 2017	2,114,016
299	207494×5^3017502 − 1	16 March 2020	2,109,149
300	15×2^6993631 − 1	25 August 2021	2,105,294
301	8943501×2^6972593 − 1	8 January 2022	2,098,967
302	6020095×2^6972593 − 1	4 September 2022	2,098,967
303	2^6972593 − 1 ^[99]	1 June 1999	2,098,960
304	273×2^6963847 − 1	16 November 2022	2,096,330
305	6219×2^6958945 − 1	7 January 2021	2,094,855
306	51×2^6945567 + 1	26 May 2020	2,090,826
307	3323×2^6921196 − 1	18 September 2024	2,083,492
308	238694×5^2979422 − 1 ^[100]	12 March 2020	2,082,532
309	4×72^1119849 − 1 ^[74]	7 September 2016	2,079,933
310	33×2^6894190 − 1	27 July 2021	2,075,360
311	4778027# − 1	31 July 2024	2,073,926
312	2345×2^6882320 − 1	13 April 2022	2,071,789
313	57×2^6857990 + 1	17 August 2023	2,064,463
314	146264×5^2953282 − 1 ^[101]	9 March 2020	2,064,261
315	69×2^6838971 − 1	1 March 2020	2,058,738
316	35816×5^2945294 − 1 ^[102]	5 March 2020	2,058,677
317	127×2^6836153 − 1	25 June 2018	2,057,890
318	19×2^6833086 + 1 ^[103]	24 October 2020	2,056,966
319	65×2^6810465 + 1	22 September 2023	2,050,157
320	40597×2^6808509 − 1 ^[104]	25 December 2013	2,049,571
321	283×2^6804701 − 1	19 January 2020	2,048,431
322	62767176²⁶²¹⁴⁴ + 1	9 May 2025	2,044,129
323	62747994²⁶²¹⁴⁴ + 1	9 May 2025	2,044,095
324	1861209×2^6789999 + 1	2 December 2020	2,044,000
325	5817×2^6789459 − 1	9 January 2021	2,043,835
326	62311952²⁶²¹⁴⁴ + 1	3 May 2025	2,043,301
327	62199610²⁶²¹⁴⁴ + 1	5 May 2025	2,043,095
328	62152830²⁶²¹⁴⁴ + 1	1 May 2025	2,043,010
329	62136706²⁶²¹⁴⁴ + 1	2 May 2025	2,042,980
330	8435×2^6786180 − 1	7 January 2021	2,042,848
331	61238184²⁶²¹⁴⁴ + 1	21 April 2025	2,041,322
332	59145944²⁶²¹⁴⁴ + 1	29 March 2025	2,037,364
333	58936230²⁶²¹⁴⁴ + 1	28 March 2025	2,036,960
334	58870004²⁶²¹⁴⁴ + 1	28 March 2025	2,036,832
335	58846688²⁶²¹⁴⁴ + 1	28 March 2025	2,036,787
336	58333324²⁶²¹⁴⁴ + 1	28 March 2025	2,035,789
337	58288282²⁶²¹⁴⁴ + 1	28 March 2025	2,035,701
338	57643582²⁶²¹⁴⁴ + 1	28 March 2025	2,034,435
339	57594478²⁶²¹⁴⁴ + 1	28 March 2025	2,034,338
340	57478518²⁶²¹⁴⁴ + 1	28 March 2025	2,034,108
341	57429230²⁶²¹⁴⁴ + 1	27 March 2025	2,034,111
342	51×2^6753404 + 1	26 May 2020	2,032,979
343	93×2^6750726 + 1	18 September 2023	2,032,173
344	56303352²⁶²¹⁴⁴ + 1	27 March 2025	2,031,757
345	56295176²⁶²¹⁴⁴ + 1	26 March 2025	2,031,740
346	55952434²⁶²¹⁴⁴ + 1	26 March 2025	2,031,045
347	55892864²⁶²¹⁴⁴ + 1	27 March 2025	2,030,920
348	69×2^6745775 + 1	21 March 2023	2,030,683
349	55702322²⁶²¹⁴⁴ + 1	27 March 2025	2,030,535
350	55695224²⁶²¹⁴⁴ + 1	25 March 2025	2,030,520
351	55169618²⁶²¹⁴⁴ + 1	25 March 2025	2,029,441
352	55007338²⁶²¹⁴⁴ + 1	25 March 2025	2,029,105
353	54852328²⁶²¹⁴⁴ + 1	25 March 2025	2,028,784
354	54528918²⁶²¹⁴⁴ + 1	26 March 2025	2,028,111
355	54044092²⁶²¹⁴⁴ + 1	24 March 2025	2,027,094
356	53903472²⁶²¹⁴⁴ + 1	24 March 2025	2,026,797
357	53750036²⁶²¹⁴⁴ + 1	24 March 2025	2,026,473
358	53616962²⁶²¹⁴⁴ + 1	28 March 2025	2,026,191
359	53311612²⁶²¹⁴⁴ + 1	24 March 2025	2,025,540
360	53008094²⁶²¹⁴⁴ + 1	23 March 2025	2,024,890
361	52648144²⁶²¹⁴⁴ + 1	21 March 2025	2,024,115
362	52599274²⁶²¹⁴⁴ + 1	20 March 2025	2,024,009
363	52592976²⁶²¹⁴⁴ + 1	21 March 2025	2,023,995
364	51992174²⁶²¹⁴⁴ + 1	16 March 2025	2,022,687
365	51852794²⁶²¹⁴⁴ + 1	14 March 2025	2,022,382
366	51714136²⁶²¹⁴⁴ + 1	13 March 2025	2,022,077
367	51283286²⁶²¹⁴⁴ + 1	9 March 2025	2,021,124
368	51125138²⁶²¹⁴⁴ + 1	7 March 2025	2,020,773
369	9995×2^6711008 − 1	31 December 2020	2,020,219
370	50454356²⁶²¹⁴⁴ + 1	1 March 2025	2,019,269
371	50449664²⁶²¹⁴⁴ + 1	28 February 2025	2,019,259
372	50366208²⁶²¹⁴⁴ + 1	28 February 2025	2,019,070
373	50121532²⁶²¹⁴⁴ + 1	27 February 2025	2,018,516
374	49536902²⁶²¹⁴⁴ + 1	25 February 2025	2,017,180
375	49235348²⁶²¹⁴⁴ + 1	23 February 2025	2,016,485
376	49209090²⁶²¹⁴⁴ + 1	23 February 2025	2,016,424
377	48055302²⁶²¹⁴⁴ + 1	18 February 2025	2,013,723
378	47707672²⁶²¹⁴⁴ + 1	16 February 2025	2,012,896
379	39×2^6684941 + 1 ^[105]	20 October 2020	2,012,370
380	47351862²⁶²¹⁴⁴ + 1	15 February 2025	2,012,044
381	47281922²⁶²¹⁴⁴ + 1	13 February 2025	2,011,876
382	47255958²⁶²¹⁴⁴ + 1	13 February 2025	2,011,813
383	6679881×2^6679881 + 1 ^[106]	25 July 2009	2,010,852
384	46831458²⁶²¹⁴⁴ + 1	11 February 2025	2,010,786
385	46378776²⁶²¹⁴⁴ + 1	8 February 2025	2,009,680
386	45073202²⁶²¹⁴⁴ + 1	21 January 2025	2,006,469
387	45007104²⁶²¹⁴⁴ + 1	19 January 2025	2,006,202
388	44819108²⁶²¹⁴⁴ + 1	14 January 2025	2,005,786
389	44666524²⁶²¹⁴⁴ + 1	12 January 2025	2,005,397
390	37×2^6660841 − 1 ^[74]	30 July 2014	2,005,115
391	44144624²⁶²¹⁴⁴ + 1	29 December 2024	2,004,059
392	44030166²⁶²¹⁴⁴ + 1	30 December 2024	2,003,764
393	43330794²⁶²¹⁴⁴ + 1	3 December 2024	2,001,941
394	39×2^6648997 + 1 ^[107]	20 October 2020	2,001,550
395	42781592²⁶²¹⁴⁴ + 1	18 November 2024	2,000,489
396	10^2000007 − 10^1127194 − 10⁸⁷²⁸¹² − 1	12 January 2024	2,000,007
397	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^[108]	Number	Discovery date	Decimal digits
1	${\tfrac {10^{8177207}-1}{9}}$ ^[108]	8 May 2021	8,177,207
2	${\tfrac {10^{5794777}-1}{9}}$ ^[108]	20 April 2021	5,794,777
3	${\tfrac {2^{15135397}+1}{3}}$ ^[108]	June 2021	4,556,209
4	${\tfrac {3^{8530117}-1}{2}}$ ^[108]	November 2023	4,069,900
5	2^13380298 − 27 ^[108]	March 2021	4,027,872
6	${\tfrac {2^{13372531}+1}{3}}$ ^[108]	September 2013	4,025,533
7	${\tfrac {2^{13347311}+1}{3}}$ ^[108]	September 2013	4,017,941
8	${\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}$ ^[108]	3 July 2022	3,829,294
9	${\tfrac {3^{7973131}-1}{2}}$ ^[108]	November 2023	3,804,150
10	${\tfrac {2^{12588091}-1}{32075464348897282169539424801}}$ ^[108]	10 April 2023	3,789,365
11	${\tfrac {2^{12503723}-2^{6251862}+1}{5}}$ ^[108]	July 2020	3,763,995
12	${\tfrac {5^{5154509}-1}{4}}$ ^[108]	February 2024	3,602,847
13	${\tfrac {5^{4939471}-1}{4}}$ ^[108]	January 2024	3,452,542
14	${\tfrac {3^{7034611}+1}{4}}$ ^[108]	December 2024	3,356,362
15	${\tfrac {2^{10443557}-1}{37289325994807}}$ ^[108]	9 July 2020	3,143,811
16	2^9092392 + 40291 ^[108]	February 2011	2,737,083
17	${\tfrac {6^{3360347}-1}{5}}$ ^[108]	October 2023	2,614,858
18	${\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}$ ^[108]	3 June 2024	2,482,834
19	${\tfrac {17^{1990523}-1}{16}}$ ^[108]	August 2020	2,449,236
20	${\tfrac {35963^{524288}+1}{2}}$ ^[108]	August 2022	2,388,581
21	500186⁵⁴⁴⁶⁵ + 54465⁵⁰⁰¹⁸⁶ ^[108]	August 2024	2,368,940
22	${\tfrac {11^{2264611}+1}{12}}$ ^[108]	July 2021	2,358,349
23	${\tfrac {5^{3300593}-1}{4}}$ ^[108]	February 2022	2,307,015
24	${\tfrac {3^{4694803}+2^{4694803}}{5}}$ ^[108]	December 2023	2,239,990
25	${\tfrac {2^{7313983}-1}{305492080276193}}$ ^[108]	1 March 2018	2,201,714
26	${\tfrac {3^{4571447}+2^{4571447}}{5}}$ ^[108]	December 2023	2,181,134
27	${\tfrac {15^{1848811}+1}{16}}$ ^[108]	July 2024	2,174,370
28	F(10367321) ^[108]	10 August 2024	2,166,642
29	${\tfrac {15^{1841911}+1}{16}}$ ^[108]	July 2024	2,166,255
30	3^4532794 + 4532794³ ^[108]	October 2023	2,162,693
31	F(10317107) ^[108]	27 July 2024	2,156,148
32	${\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}$ ^[108]	27 October 2017	2,131,318
33	360834³⁵⁶³⁴⁵ + 356345³⁶⁰⁸³⁴ ^[108]	February 2024	2,003,304
34	360339³⁵⁶⁵⁷² + 356572³⁶⁰³³⁹ ^[108]	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 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 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 3843236^1048576 + 1, PrimeGrid

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[35] Official announcement of discovery of 99739×2^14019102 − 1, PrimeGrid

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

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

[The_largest_known_primes-38] ^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k Chris Caldwell, The Largest Known Primes at The PrimePages.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[GSRP-74] "CRUS - Proven Conjectures". www.noprimeleftbehind.net.

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

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

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

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

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

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

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

[82] 102818×5^3440382 − 1, PrimeGrid

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

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

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

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

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

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

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

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

[91] 109838×5^3168862 − 1, PrimeGrid

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

[93] 118568×5^3112069 + 1, PrimeGrid

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

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

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

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

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

[1stmegaprime-99] GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.

[100] 238694×5^2979422 − 1, PrimeGrid

[101] 146264×5^2953282 − 1, PrimeGrid

[102] 35816×5^2945294 − 1, PrimeGrid

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

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

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

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

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

[PRPTop-108] ^ ^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 Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

[21]

[22]

[23]

[24]

[25]

[26]

[27]

[28]

[29]

[30]

[31]

[32]

[33]

[34]

[35]

[36]

[37]

[38]

[39]

[40]

[41]

[42]

[43]

[44]

[45]

[46]

[47]

[48]

[49]

[50]

[51]

[52]

[53]

[54]

[55]

[56]

[57]

[58]

[59]

[60]

[61]

[62]

[63]

[64]

[65]

[66]

[67]

[68]

[69]

[70]

[71]

[72]

[73]

[74]

[75]

[76]

[77]

[78]

[79]

[80]

[81]

[82]

[83]

[84]

[85]

[86]

[87]

[88]

[89]

[90]

[91]

[92]

[93]

[94]

[95]

[96]

[97]

[98]

[99]

[100]

List of largest known primes and probable primes

Largest known primes

Largest known probable primes (PRPs)

See also

References

External links

€4.95