List of largest known primes and probable 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 ${\displaystyle \Phi _{3}(x)}$ is the third cyclotomic polynomial, defined as ${\displaystyle x^{2}+x+1}$.

More information , ...

Rank[1][2]	Number	Discovery date	Decimal digits
1	2136279841 − 1 [3]	12 October 2024	41,024,320
2	282589933 − 1 [4]	7 December 2018	24,862,048
3	277232917 − 1 [5]	26 December 2017	23,249,425
4	274207281 − 1 [6]	7 January 2016	22,338,618
5	257885161 − 1 [7]	25 January 2013	17,425,170
6	25241902097152 + 1 [8]	12 October 2025	13,426,224
7	243112609 − 1 [9]	23 August 2008	12,978,189
8	242643801 − 1 [10]	4 June 2009	12,837,064
9	${\displaystyle \Phi _{3}(-516693^{1048576})}$ [11]	2 October 2023	11,981,518
10	${\displaystyle \Phi _{3}(-465859^{1048576})}$ [12]	31 May 2023	11,887,192
11	237156667 − 1 [9]	6 September 2008	11,185,272
12	232582657 − 1 [13]	4 September 2006	9,808,358
13	10223×231172165 + 1 [14]	31 October 2016	9,383,761
14	230402457 − 1 [15]	15 December 2005	9,152,052
15	4×511786358 + 1	1 October 2024	8,238,312
16	225964951 − 1 [16]	18 February 2005	7,816,230
17	4052186×694052186 + 1 [17]	16 April 2025	7,451,366
18	69×224612729 − 1	13 August 2024	7,409,172
19	224036583 − 1 [18]	15 May 2004	7,235,733
20	71721621048576 + 1 [19]	12 August 2026	7,188,671
21	53362841048576 + 1 [20]	31 October 2025	7,054,022
22	107347×223427517 − 1	4 August 2024	7,052,391
23	3×223157875 − 1 [21]	25 June 2025	6,971,216
24	38432361048576 + 1 [22]	17 December 2024	6,904,556
25	3×222103376 − 1 [23]	30 September 2024	6,653,780
26	19637361048576 + 1 [24]	24 September 2022	6,598,776
27	19517341048576 + 1 [25]	9 August 2022	6,595,985
28	202705×221320516 + 1 [26]	25 November 2021	6,418,121
29	220996011 − 1 [27]	17 November 2003	6,320,430
30	10590941048576 + 1 [28]	31 October 2018	6,317,602
31	3×220928756 − 1 [29]	5 July 2023	6,300,184
32	9194441048576 + 1 [30]	29 August 2017	6,253,210
33	81×220498148 + 1	13 June 2023	6,170,560
34	7×220267500 + 1	21 July 2022	6,101,127
35	4×58431178 + 1	2 January 2024	5,893,142
36	168451×219375200 + 1 [31]	17 September 2017	5,832,522
37	69×219374980 − 1	3 July 2022	5,832,452
38	3×218924888 − 1 [32]	24 March 2022	5,696,990
39	69×218831865 − 1	16 December 2021	5,668,959
40	2×311879700 + 1	22 June 2024	5,668,058
41	97139×218397548 − 1	23 April 2023	5,538,219
42	7×218233956 + 1	1 October 2020	5,488,969
43	3×218196595 − 1 [33]	8 January 2022	5,477,722
44	4×311279466 + 1	10 September 2024	5,381,674
45	3×217748034 − 1 [34]	6 September 2021	5,342,692
46	${\displaystyle \Phi _{3}(-123447^{524288})}$	23 February 2017	5,338,805
47	31×217681433 − 1	14 May 2026	5,322,644
48	15×217609618 + 1	12 May 2026	5,301,025
49	3622×57558139 − 1	18 February 2022	5,282,917
50	7×66772401 + 1	9 September 2019	5,269,954
51	2×310852677 + 1	8 January 2023	5,178,044
52	8508301×217016603 − 1 [35]	21 March 2018	5,122,515
53	8×105112848 − 1	30 January 2024	5,112,848
54	13×216828072 + 1	11 October 2023	5,065,756
55	3×216819291 − 1 [36]	20 January 2021	5,063,112
56	5287180×310574360 − 1	3 November 2024	5,045,259
57	3×216408818 + 1 [37]	25 October 2020	4,939,547
58	2329989×216309923 − 1	13 February 2024	4,909,783
59	69×215866556 + 1	20 August 2021	4,776,312
60	2036×310009192 + 1	15 February 2024	4,775,602
61	2525332×732525332 + 1 [38]	28 August 2021	4,705,888
62	1419499×215614489 + 1	9 February 2024	4,700,436
63	11×215502315 + 1	8 January 2023	4,666,663
64	(102332974 + 1)2 − 2	20 February 2024	4,665,949
65	37×215474010 + 1	8 November 2022	4,658,143
66	93839×215337656 − 1	28 November 2022	4,617,100
67	215317227+27658614 + 1	31 July 2020	4,610,945
68	13×215294536 + 1	30 September 2023	4,604,116
69	6×56546983 + 1	13 June 2020	4,576,146
70	4788920×39577840 − 1	14 February 2024	4,569,798
71	31×215145093 − 1	9 February 2025	4,559,129
72	69×214977631 − 1	3 December 2021	4,508,719
73	192971×214773498 − 1	7 March 2021	4,447,272
74	4×39214845 + 1	10 September 2024	4,396,600
75	9145334×39145334 + 1	25 December 2023	4,363,441
76	4×56181673 − 1	15 July 2022	4,320,805
77	396101×214259638 − 1	3 February 2024	4,292,585
78	6962×312863120 − 1	29 February 2020	4,269,952
79	37×214166940 + 1	24 June 2022	4,264,676
80	99739×214019102 + 1 [39]	24 December 2019	4,220,176
81	69×213832885 − 1	17 January 2022	4,164,116
82	9562633# + 1	25 June 2025	4,151,498
83	404849×213764867 + 1	10 March 2021	4,143,644
84	25×213719266 + 1	20 September 2022	4,129,912
85	81×213708272 + 1	11 October 2022	4,126,603
86	2740879×213704395 − 1	26 October 2019	4,125,441
87	479216×38625889 − 1	16 November 2019	4,115,601
88	13×213584543 − 1	30 May 2025	4,089,357
89	31×213514933 − 1	9 February 2025	4,068,402
90	${\displaystyle \Phi _{3}(-143332^{393216})}$	30 January 2017	4,055,114
91	81×213470584 + 1	9 October 2022	4,055,052
92	213466917 − 1 [40]	14 November 2001	4,053,946
93	5778486×55778486 + 1	15 August 2024	4,038,996
94	9×213334487 + 1	31 March 2020	4,014,082
95	6×104000494 − 1	27 July 2026	4,000,495
96	206039×213104952 − 1	26 April 2021	3,944,989
97	2805222×55610444 + 1 [41]	2 September 2019	3,921,539
98	5128×222919993 + 1	5 December 2024	3,919,869
99	19249×213018586 + 1 [42]	26 March 2007	3,918,990
100	2293×212918431 − 1	13 February 2021	3,888,839
101	25457072524288 + 1 [43]	29 July 2026	3,882,509
102	23865586524288 + 1 [44]	27 April 2026	3,868,078
103	23680116524288 + 1 [45]	17 April 2026	3,866,301
104	22970694524288 + 1 [46]	19 March 2026	3,859,376
105	81×212804541 + 1	19 September 2022	3,854,553
106	22444816524288 + 1 [47]	3 March 2026	3,854,102
107	22306708524288 + 1 [48]	28 February 2026	3,852,697
108	21826264524288 + 1 [49]	25 February 2026	3,847,739
109	67612×55501582 + 1 [50]	8 April 2025	3,845,446
110	20221496524288 + 1	22 January 2026	3,830,351
111	19981416524288 + 1 [51]	5 February 2026	3,827,631
112	19409636524288 + 1 [52]	14 January 2026	3,821,021
113	18703062524288 + 1 [53]	9 December 2025	3,812,577
114	18529322524288 + 1 [54]	30 November 2025	3,810,452
115	18099898524288 + 1	1 September 2025	3,805,113
116	17997078524288 + 1 [55]	20 November 2025	3,803,816
117	17544674524288 + 1 [56]	25 October 2025	3,798,019
118	17502532524288 + 1 [57]	23 October 2025	3,797,471
119	17445908524288 + 1 [58]	19 October 2025	3,796,734
120	17177670524288 + 1 [59]	5 October 2025	3,793,205
121	16211276524288 + 1 [60]	9 August 2025	3,780,021
122	15958750524288 + 1 [61]	15 July 2025	3,776,446
123	15852200524288 + 1 [62]	8 July 2025	3,774,921
124	751882!/751879# + 1	7 December 2025	3,765,621
125	4×55380542 + 1	22 February 2023	3,760,839
126	13520762524288 + 1 [63]	25 February 2025	3,738,699
127	13427472524288 + 1 [64]	3 March 2025	3,737,122
128	9×212406887 + 1	29 March 2020	3,734,847
129	12900356524288 + 1 [65]	22 January 2025	3,728,004
130	12693488524288 + 1 [66]	6 January 2025	3,724,323
131	11937916524288 + 1 [67]	5 October 2024	3,710,349
132	7×212286041 − 1	10 June 2023	3,698,468
133	10913140524288 + 1 [68]	19 June 2024	3,689,913
134	69×212231580 − 1	27 July 2021	3,682,075
135	27×212184319 + 1	6 February 2021	3,667,847
136	9332124524288 + 1 [69]	22 June 2024	3,654,278
137	8630170524288 + 1 [70]	13 April 2024	3,636,472
138	863282×55179692 − 1	17 October 2024	3,620,456
139	670490×123352450 − 1	17 October 2024	3,617,907
140	4×37578378 + 1	9 September 2024	3,615,806
141	11×211993994 − 1	15 August 2024	3,610,554
142	3761×211978874 − 1	6 July 2022	3,606,004
143	95×211954552 − 1	28 May 2024	3,598,681
144	259072×55136295 − 1	28 October 2024	3,590,122
145	3×211895718 − 1 [71]	23 June 2015	3,580,969
146	37×211855148 + 1	30 May 2022	3,568,757
147	6339004524288 + 1 [72]	8 June 2023	3,566,218
148	763795×64582771 + 1	11 December 2023	3,566,095
149	5897794524288 + 1 [42]	18 December 2022	3,549,792
150	29×211749456 − 1 [42]	16 May 2026	3,536,941
151	3×211731850 − 1 [73]	13 March 2015	3,531,640
152	69×211718455 − 1 [42]	4 December 2020	3,527,609
153	21×211715899 − 1	4 February 2026	3,526,839
154	8629×211708579 − 1	19 September 2024	3,524,638
155	41×211676439 + 1 [42]	20 June 2022	3,514,960
156	4896418524288 + 1 [74]	15 May 2022	3,507,424
157	81×211616017 + 1 [42]	30 August 2022	3,496,772
158	69×211604348 − 1 [42]	4 December 2020	3,493,259
159	4450871×64450871 + 1 [42]	17 September 2023	3,463,458
160	9×211500843 + 1 [42]	13 March 2020	3,462,100
161	3×211484018 − 1 [75]	22 November 2014	3,457,035
162	193997×211452891 + 1 [76]	3 April 2018	3,447,670
163	29914×54930904 + 1	27 September 2024	3,446,559
164	3638450524288 + 1 [77]	29 May 2020	3,439,810
165	9221×211392194 − 1 [78]	7 February 2021	3,429,397
166	9×211366286 + 1	26 March 2020	3,421,594
167	${\displaystyle \Phi _{3}(-3328218^{262144})}$	29 December 2025	3,419,518
168	5×211355764 − 1	2 October 2021	3,418,427
169	732050×64392301 + 1	9 September 2023	3,417,881
170	${\displaystyle \Phi _{3}(-3268739^{262144})}$	10 November 2025	3,415,412
171	3214654524288 + 1 [79]	24 December 2019	3,411,613
172	632760! − 1	20 October 2024	3,395,992
173	146561×211280802 − 1 [80]	16 November 2020	3,395,865
174	51208×54857576 + 1	6 June 2024	3,395,305
175	2985036524288 + 1 [81]	18 September 2019	3,394,739
176	4591×211270837 − 1	2 January 2025	3,392,864
177	6929×211255424 − 1	7 July 2022	3,388,225
178	2877652524288 + 1 [82]	29 June 2019	3,386,397
179	2788032524288 + 1 [83]	17 April 2019	3,379,193
180	2733014524288 + 1 [84]	18 March 2019	3,374,655
181	${\displaystyle \Phi _{3}(-2637072^{262144})}$	4 December 2025	3,366,518
182	9×211158963 + 1	13 March 2020	3,359,184
183	9271×211134335 − 1	17 January 2021	3,351,773
184	136804×54777253 − 1	1 March 2024	3,339,162
185	2312092524288 + 1 [85]	4 August 2018	3,336,572
186	987324×481974648 − 1	12 October 2024	3,319,866
187	2061748524288 + 1 [86]	20 March 2018	3,310,478
188	1880370524288 + 1 [87]	15 January 2018	3,289,511
189	27×210902757 − 1	7 March 2022	3,282,059
190	3×210829346 + 1 [88]	14 January 2014	3,259,959
191	11×210803449 + 1	29 May 2022	3,252,164
192	11×210797109 + 1	29 May 2022	3,250,255
193	7×210612737 − 1	19 May 2022	3,194,154
194	7351117# + 1	14 September 2024	3,191,401
195	37×210599476 + 1	17 June 2022	3,190,762
196	5×210495620 − 1	26 September 2021	3,159,498
197	${\displaystyle {\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}}$	30 June 2023	3,153,105
198	5×210349000 − 1	26 September 2021	3,115,361
199	${\displaystyle \Phi _{3}(-844833^{262144})}$	17 January 2017	3,107,335
200	17×210248660 − 1	8 August 2025	3,085,156
201	52922×54399812 − 1	3 August 2023	3,075,342
202	${\displaystyle \Phi _{3}(-712012^{262144})}$	14 January 2017	3,068,389
203	177742×54386703 − 1	24 July 2023	3,066,180
204	4×36402015 + 1	9 September 2024	3,054,539
205	874208×541748416 − 1	26 September 2019	3,028,951
206	475856524288 + 1 [89]	8 August 2012	2,976,633
207	2×36236772 + 1	20 December 2022	2,975,697
208	15×39830108 + 1	19 August 2023	2,959,159
209	9×29778263 + 1	5 August 2020	2,943,552
210	198×5581061348 + 1	30 August 2024	2,915,138
211	1806676×411806676 + 1	11 March 2018	2,913,785
212	356926524288 + 1 [90]	20 June 2012	2,911,151
213	341112524288 + 1 [91]	15 June 2012	2,900,832
214	213988×54138363 − 1	29 November 2022	2,892,597
215	43×29596983 − 1	28 February 2022	2,888,982
216	121×29584444 + 1 [92]	18 November 2020	2,885,208
217	15×29482269 − 1	14 August 2024	2,854,449
218	6533299# − 1	18 August 2024	2,835,864
219	11×29381365 + 1	7 March 2020	2,824,074
220	15×29312889 + 1	7 August 2023	2,803,461
221	97×29305542 + 1	10 May 2025	2,801,250
222	93×29235048 + 1	7 May 2025	2,780,029
223	49×29187790 + 1	11 September 2022	2,765,803
224	6369619# + 1	12 August 2024	2,765,105
225	27653×29167433 + 1 [42]	8 June 2005	2,759,677
226	6354977# − 1	12 August 2024	2,758,832
227	90527×29162167 + 1	30 June 2010	2,758,093
228	6795×29144320 − 1	31 March 2021	2,752,719
229	31×29088085 − 1	27 August 2024	2,735,788
230	75×29079482 + 1	25 July 2023	2,733,199
231	1323365×1161323365 + 1 [93]	18 January 2018	2,732,038
232	57×29075622 − 1	7 August 2022	2,732,037
233	102718281 − 5×101631138 − 5×101087142 − 1	6 August 2024	2,718,281
234	63838×53887851 − 1 [94]	19 June 2022	2,717,497
235	13×28989858 + 1	10 March 2020	2,706,219
236	271357×28943013 − 1	13 October 2025	2,692,121
237	4159×28938471 − 1	19 April 2022	2,690,752
238	273809×28932416 − 1 [95]	13 December 2017	2,688,931
239	93×28898285 + 1	4 March 2024	2,678,653
240	2×35570081 + 1	14 February 2020	2,657,605
241	25×28788628 + 1 [96]	1 March 2021	2,645,643
242	2038×3661028507 − 1 [97]	4 April 2016	2,636,562
243	64598×53769854 − 1	14 June 2022	2,635,020
244	63×28741225 + 1	6 May 2024	2,631,373
245	8×785900325 + 1	4 June 2022	2,606,325
246	17×28636199 + 1 [98]	17 February 2021	2,599,757
247	75898524288 + 1 [99]	19 November 2011	2,558,647
248	25×28456828 + 1 [100]	27 January 2021	2,545,761
249	39×28413422 + 1 [101]	23 January 2021	2,532,694
250	31×28348000 + 1 [102]	19 January 2021	2,513,000
251	27×28342438 − 1 [103]	1 February 2021	2,511,326
252	17×28330892 − 1	16 July 2025	2,507,850
253	3867×28261084 − 1	14 April 2021	2,486,838
254	101×28152967 + 1	2 December 2023	2,454,290
255	9×28128075 − 1	8 July 2025	2,446,796
256	273662×53493296 − 1 [104]	7 December 2021	2,441,715
257	81×28109236 + 1	9 September 2022	2,441,126
258	11×28103463 + 1	6 March 2020	2,439,387
259	102818×53440382 − 1 [105]	8 October 2021	2,404,729
260	9×27979119 − 1	8 July 2025	2,401,956
261	11×27971110 − 1	25 November 2019	2,399,545
262	27×27963247 + 1 [106]	14 January 2021	2,397,178
263	3177×27954621 − 1	13 June 2021	2,394,584
264	39×27946769 + 1 [107]	14 January 2021	2,392,218
265	7×63072198 + 1	4 August 2019	2,390,636
266	3765×27904593 − 1	10 January 2021	2,379,524
267	29×27899985 + 1 [108]	14 January 2021	2,378,134
268	5113×27895471 − 1	27 November 2022	2,376,778
269	861×27895451 − 1	21 February 2021	2,376,771
270	75×27886683 + 1	4 September 2023	2,374,131
271	3243959×27862047 + 1	3 December 2025	2,366,719
272	2661×27861390 − 1	28 December 2024	2,366,518
273	21×27838882 − 1	15 August 2025	2,359,740
274	30397×27838120 + 1	17 August 2025	2,359,514
275	99×27830910 + 1	24 April 2024	2,357,341
276	28433×27830457 + 1 [42]	31 December 2004	2,357,207
277	2589×27803339 − 1	21 August 2022	2,349,043
278	59×27792307 + 1	24 April 2024	2,345,720
279	101×27784453 + 1	24 April 2024	2,343,356
280	95×27778585 + 1	24 April 2024	2,341,590
281	8401×27767655 − 1	24 April 2023	2,338,302
282	9693×27767343 − 1	17 November 2023	2,338,208
283	1581658×301581658 + 1	17 April 2026	2,336,307
284	5×27755002 − 1	23 September 2021	2,334,489
285	2945×27753232 − 1	27 November 2022	2,333,959
286	2×836798431 + 1	10 September 2024	2,333,181
287	63×27743186 + 1	24 April 2024	2,330,934
288	2545×27732265 − 1	13 January 2021	2,327,648
289	5539×27730709 − 1	15 January 2021	2,327,180
290	4817×27719584 − 1	13 June 2021	2,323,831
291	2151×27719549 − 1	24 May 2026	2,323,820
292	183×558842752 + 1	23 August 2024	2,314,734
293	1341174×531341174 + 1 [109]	21 August 2017	2,312,561
294	9467×27680034 − 1	20 February 2022	2,311,925
295	45×27661004 + 1 [110]	13 December 2020	2,306,194
296	15×27619838 + 1 [111]	6 December 2020	2,293,801
297	3645×27610003 − 1	28 August 2025	2,290,843
298	3597×27580693 − 1	10 January 2021	2,282,020
299	5256037# + 1	6 August 2024	2,281,955
300	38118498221×27552807 + 1	7 October 2025	2,273,633
301	3129×27545557 − 1	14 March 2023	2,271,443
302	7401×27523295 − 1	21 February 2021	2,264,742
303	45×27513661 + 1 [112]	12 November 2020	2,261,839
304	${\displaystyle \Phi _{3}(-558640^{196608})}$	11 January 2017	2,259,865
305	2739×27483537 − 1	1 May 2025	2,252,773
306	9×27479919 − 1	3 June 2023	2,251,681
307	1875×27474308 − 1	21 August 2022	2,249,995
308	69×27452023 + 1	23 March 2023	2,243,285
309	1281879×27447178 + 1	27 December 2023	2,241,831
310	9107×27417464 − 1	3 May 2025	2,232,884
311	4×53189669 − 1	12 July 2022	2,229,484
312	19×27383785 − 1	11 July 2025	2,222,743
313	29×27374577 + 1 [113]	27 October 2020	2,219,971
314	2653×27368343 − 1	18 September 2024	2,218,096
315	21555×27364128 − 1	4 September 2024	2,216,828
316	3197×27359542 − 1	27 November 2022	2,215,447
317	109838×53168862 − 1 [114]	13 August 2020	2,214,945
318	95×27354869 + 1	25 September 2023	2,214,039
319	101×27345194 − 1	5 October 2019	2,211,126
320	85×27333444 + 1	25 September 2023	2,207,589
321	15×27300254 + 1 [115]	25 October 2020	2,197,597
322	6733×27285527 − 1	26 October 2025	2,193,166
323	422429! + 1	21 February 2022	2,193,027
324	1759×27284439 − 1	28 August 2021	2,192,838
325	1909683×141909683 + 1	27 May 2023	2,188,748
326	737×27269322 − 1	10 August 2017	2,188,287
327	6909×27258896 − 1	18 September 2024	2,185,150
328	93×27241494 + 1	25 September 2023	2,179,909
329	118568×53112069 + 1 [116]	1 May 2020	2,175,248
330	4215×27221386 − 1	27 December 2024	2,173,858
331	40×257901632 + 1	11 September 2024	2,172,875
332	1685×27213108 − 1	13 April 2025	2,171,366
333	580633×27208783 − 1	15 February 2024	2,170,066
334	6039×27207973 − 1	24 March 2021	2,169,820
335	1871×27207954 − 1	26 September 2025	2,169,814
336	502573×27181987 − 1 [117]	4 October 2014	2,162,000
337	1503×27175467 − 1	2 May 2026	2,160,034
338	402539×27173024 − 1 [118]	2 October 2014	2,159,301
339	3343×27166019 − 1	29 September 2016	2,157,191
340	4137×27132569 − 1	11 April 2025	2,147,121
341	161041×27107964 + 1 [119]	6 January 2015	2,139,716
342	294×213918952 − 1	19 September 2023	2,139,672
343	17×27101254 − 1	11 July 2025	2,137,692
344	27×27046834 + 1 [120]	11 October 2018	2,121,310
345	1759×27046791 − 1	28 August 2021	2,121,299
346	327×27044001 − 1	13 January 2021	2,120,459
347	5×27037188 − 1	22 September 2021	2,118,406
348	3×27033641 + 1 [121]	21 February 2011	2,117,338
349	625783×27031319 − 1	10 February 2024	2,116,644
350	33661×27031232 + 1 [42]	30 October 2007	2,116,617
351	${\displaystyle \Phi _{3}(-237804^{196608})}$	6 January 2017	2,114,016
352	207494×53017502 − 1	16 March 2020	2,109,149
353	15×26993631 − 1	25 August 2021	2,105,294
354	8943501×26972593 − 1	8 January 2022	2,098,967
355	6020095×26972593 − 1	4 September 2022	2,098,967
356	26972593 − 1 [122]	1 June 1999	2,098,960
357	100206278262144 + 1	26 January 2026	2,097,387
358	100013182262144 + 1	26 January 2026	2,097,168
359	273×26963847 − 1	16 November 2022	2,096,330
360	6219×26958945 − 1	7 January 2021	2,094,855
361	95511706262144 + 1	6 August 2026	2,091,924
362	51×26945567 + 1	26 May 2020	2,090,826
363	94446258262144 + 1	21 July 2026	2,090,647
364	93676308262144 + 1	3 July 2026	2,089,715
365	93590610262144 + 1	1 July 2026	2,089,611
366	92943822262144 + 1	17 June 2026	2,088,822
367	92605848262144 + 1	12 June 2026	2,088,407
368	91898096262144 + 1	5 June 2026	2,087,534
369	91056676262144 + 1	26 May 2026	2,086,486
370	90874290262144 + 1	24 May 2026	2,085,875
371	90569054262144 + 1	18 May 2026	2,085,875
372	89868368262144 + 1	9 May 2026	2,084,991
373	8×102084563 − 1	1 June 2025	2,084,564
374	89239070262144 + 1	27 April 2026	2,084,191
375	3323×26921196 − 1	18 September 2024	2,083,492
376	88088376262144 + 1	8 April 2026	2,082,713
377	238694×52979422 − 1 [123]	12 March 2020	2,082,532
378	87887018262144 + 1	6 April 2026	2,082,453
379	87801308262144 + 1	4 April 2026	2,082,342
380	87124982262144 + 1	26 March 2026	2,081,461
381	86369496262144 + 1	18 March 2026	2,080,470
382	4×721119849 − 1 [97]	7 September 2016	2,079,933
383	84561734262144 + 1	7 March 2026	2,078,062
384	129×26900230 + 1	5 June 2025	2,077,179
385	83479504262144 + 1	2 March 2026	2,076,595
386	83211382262144 + 1	27 February 2026	2,076,229
387	33×26894190 − 1	27 July 2021	2,075,360
388	82060924262144 + 1	20 February 2026	2,074,644
389	4778027# − 1	31 July 2024	2,073,926
390	105×26884697 + 1	2 June 2025	2,072,503
391	80514060262144 + 1	10 February 2026	2,072,477
392	2345×26882320 − 1	13 April 2022	2,071,789
393	79523718262144 + 1	5 February 2026	2,071,068
394	77784266262144 + 1	20 January 2026	2,068,550
395	77708974262144 + 1	19 January 2026	2,068,440
396	77662142262144 + 1	18 January 2026	2,068,372
397	77586084262144 + 1	17 January 2026	2,068,260
398	77412518262144 + 1	14 January 2026	2,068,005
399	76013952262144 + 1	25 December 2025	2,065,929
400	75810636262144 + 1	20 December 2025	2,065,624
401	75753274262144 + 1	20 December 2025	2,065,538
402	57×26857990 + 1	17 August 2023	2,064,463
403	146264×52953282 − 1 [124]	9 March 2020	2,064,261
404	74732694262144 + 1	10 December 2025	2,063,994
405	74716572262144 + 1	10 December 2025	2,063,970
406	74399970262144 + 1	5 December 2025	2,063,486
407	74336726262144 + 1	4 December 2025	2,063,389
408	73597220262144 + 1	25 November 2025	2,062,251
409	73589294262144 + 1	24 November 2025	2,062,239
410	73465436262144 + 1	21 November 2025	2,062,047
411	73116844262144 + 1	13 November 2025	2,061,505
412	72862906262144 + 1	9 November 2025	2,061,109
413	72752758262144 + 1	4 November 2025	2,060,937
414	72718062262144 + 1	4 November 2025	2,060,883
415	72071732262144 + 1	22 October 2025	2,059,866
416	71737620262144 + 1	18 October 2025	2,059,337
417	71380700262144 + 1	13 October 2025	2,058,770
418	69×26838971 − 1	1 March 2020	2,058,738
419	35816×52945294 − 1 [125]	5 March 2020	2,058,677
420	71107798262144 + 1	11 October 2025	2,058,333
421	127×26836153 − 1	25 June 2018	2,057,890
422	105×26835099 + 1	26 May 2025	2,057,572
423	70520422262144 + 1	29 September 2025	2,057,389
424	70349734262144 + 1	27 September 2025	2,057,113
425	19×26833086 + 1 [126]	24 October 2020	2,056,966
426	69844790262144 + 1	22 September 2025	2,056,293
427	69810332262144 + 1	22 September 2025	2,056,237
428	69290228262144 + 1	20 September 2025	2,055,386
429	69170386262144 + 1	13 September 2025	2,055,189
430	68717884262144 + 1	30 August 2025	2,054,441
431	68000464262144 + 1	10 August 2025	2,053,246
432	67886950262144 + 1	9 August 2025	2,053,056
433	67673558262144 + 1	5 August 2025	2,052,698
434	67535128262144 + 1	2 August 2025	2,052,465
435	67433562262144 + 1	2 August 2025	2,052,293
436	67167678262144 + 1	24 July 2025	2,051,844
437	67141518262144 + 1	24 July 2025	2,051,799
438	67062340262144 + 1	22 July 2025	2,051,665
439	66498472262144 + 1	8 July 2025	2,050,704
440	66342922262144 + 1	4 July 2025	2,050,437
441	66266188262144 + 1	3 July 2025	2,050,305
442	65×26810465 + 1	22 September 2023	2,050,157
443	40597×26808509 − 1 [127]	25 December 2013	2,049,571
444	283×26804701 − 1	19 January 2020	2,048,431
445	65136498262144 + 1	20 June 2025	2,048,348
446	64989720262144 + 1	18 June 2025	2,048,091
447	64074894262144 + 1	30 May 2025	2,046,447
448	64010198262144 + 1	30 May 2025	2,046,362
449	63833640262144 + 1	27 May 2025	2,046,047
450	8×102045966 − 1	31 May 2025	2,045,967
451	63784742262144 + 1	26 May 2025	2,045,960
452	63558122262144 + 1	27 May 2025	2,045,555
453	63448958262144 + 1	22 May 2025	2,045,359
454	63286690262144 + 1	19 May 2025	2,045,068
455	62767176262144 + 1	9 May 2025	2,044,129
456	62747994262144 + 1	9 May 2025	2,044,095
457	1861209×26789999 + 1	2 December 2020	2,044,000
458	5817×26789459 − 1	9 January 2021	2,043,835
459	62311952262144 + 1	3 May 2025	2,043,301
460	62199610262144 + 1	5 May 2025	2,043,095
461	62152830262144 + 1	1 May 2025	2,043,010
462	62136706262144 + 1	2 May 2025	2,042,980
463	8435×26786180 − 1	7 January 2021	2,042,848
464	61238184262144 + 1	21 April 2025	2,041,322
465	119×26777781 + 1	18 May 2025	2,040,318
466	59145944262144 + 1	29 March 2025	2,037,364
467	58936230262144 + 1	28 March 2025	2,036,960
468	58870004262144 + 1	28 March 2025	2,036,832
469	58846688262144 + 1	28 March 2025	2,036,787
470	58333324262144 + 1	28 March 2025	2,035,789
471	58288282262144 + 1	28 March 2025	2,035,701
472	57643582262144 + 1	28 March 2025	2,034,435
473	57594478262144 + 1	28 March 2025	2,034,338
474	57478518262144 + 1	28 March 2025	2,034,108
475	57429230262144 + 1	27 March 2025	2,034,111
476	51×26753404 + 1	26 May 2020	2,032,979
477	93×26750726 + 1	18 September 2023	2,032,173
478	56303352262144 + 1	27 March 2025	2,031,757
479	56295176262144 + 1	26 March 2025	2,031,740
480	55952434262144 + 1	26 March 2025	2,031,045
481	55892864262144 + 1	27 March 2025	2,030,920
482	69×26745775 + 1	21 March 2023	2,030,683
483	55702322262144 + 1	27 March 2025	2,030,535
484	55695224262144 + 1	25 March 2025	2,030,520
485	55169618262144 + 1	25 March 2025	2,029,441
486	55007338262144 + 1	25 March 2025	2,029,105
487	54852328262144 + 1	25 March 2025	2,028,784
488	54528918262144 + 1	26 March 2025	2,028,111
489	54044092262144 + 1	24 March 2025	2,027,094
490	53903472262144 + 1	24 March 2025	2,026,797
491	53750036262144 + 1	24 March 2025	2,026,473
492	53616962262144 + 1	28 March 2025	2,026,191
493	53311612262144 + 1	24 March 2025	2,025,540
494	4681×26728157 − 1	25 August 2025	2,025,381
495	53008094262144 + 1	23 March 2025	2,024,890
496	52648144262144 + 1	21 March 2025	2,024,115
497	52599274262144 + 1	20 March 2025	2,024,009
498	52592976262144 + 1	21 March 2025	2,023,995
499	117×26719464 + 1	10 May 2025	2,022,763
500	51992174262144 + 1	16 March 2025	2,022,687
501	51852794262144 + 1	14 March 2025	2,022,382
502	51714136262144 + 1	13 March 2025	2,022,077
503	51283286262144 + 1	9 March 2025	2,021,124
504	51125138262144 + 1	7 March 2025	2,020,773
505	9995×26711008 − 1	31 December 2020	2,020,219
506	50454356262144 + 1	1 March 2025	2,019,269
507	50449664262144 + 1	28 February 2025	2,019,259
508	50366208262144 + 1	28 February 2025	2,019,070
509	50121532262144 + 1	27 February 2025	2,018,516
510	49536902262144 + 1	25 February 2025	2,017,180
511	49235348262144 + 1	23 February 2025	2,016,485
512	49209090262144 + 1	23 February 2025	2,016,424
513	48055302262144 + 1	18 February 2025	2,013,723
514	47707672262144 + 1	16 February 2025	2,012,896
515	39×26684941 + 1 [128]	20 October 2020	2,012,370
516	47351862262144 + 1	15 February 2025	2,012,044
517	47281922262144 + 1	13 February 2025	2,011,876
518	47255958262144 + 1	13 February 2025	2,011,813
519	6679881×26679881 + 1 [129]	25 July 2009	2,010,852
520	46831458262144 + 1	11 February 2025	2,010,786
521	46378776262144 + 1	8 February 2025	2,009,680
522	45073202262144 + 1	21 January 2025	2,006,469
523	45007104262144 + 1	19 January 2025	2,006,202
524	44819108262144 + 1	14 January 2025	2,005,786
525	44666524262144 + 1	12 January 2025	2,005,397
526	37×26660841 − 1 [97]	30 July 2014	2,005,115
527	44144624262144 + 1	29 December 2024	2,004,059
528	44030166262144 + 1	30 December 2024	2,003,764
529	43330794262144 + 1	3 December 2024	2,001,941
530	39×26648997 + 1 [130]	20 October 2020	2,001,550
531	42781592262144 + 1	18 November 2024	2,000,489
532	102000007 − 101127194 − 10872812 − 1	12 January 2024	2,000,007
533	102000005 − 101051046 − 10948958 − 1	6 January 2024	2,000,005

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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.

More information , ...

Rank[131]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [131]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [131]	19 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [131]	June 2021	4,556,209
4	${\displaystyle {\tfrac {21^{3078871}-1}{20}}}$ [131]	June 2026	4,070,942
5	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [131]	November 2023	4,069,900
6	213380298 − 27 [131]	March 2021	4,027,872
7	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [131]	September 2013	4,025,533
8	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [131]	September 2013	4,017,941
9	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [131]	3 July 2022	3,829,294
10	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [131]	November 2023	3,804,150
11	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [131]	10 April 2023	3,789,365
12	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [131]	July 2020	3,763,995
13	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [131]	February 2024	3,602,847
14	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [131]	January 2024	3,452,542
15	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [131]	December 2024	3,356,362
16	${\displaystyle {\tfrac {6^{4120873}+1}{7}}}$ [131]	April 2026	3,206,662
17	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [131]	9 July 2020	3,143,811
18	${\displaystyle {\tfrac {7^{3417779}+1}{8}}}$ [131]	November 2025	2,888,358
19	29092392 + 40291 [131]	February 2011	2,737,083
20	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [131]	June 2025	2,644,652
21	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [131]	October 2023	2,614,858
22	${\displaystyle {\tfrac {9^{2698541}+1}{10}}}$ [131]	February 2026	2,575,062
23	F(11964299) [131]	28 June 2025	2,500,391
24	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [131]	3 June 2024	2,482,834
25	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [131]	August 2020	2,449,236
26	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [131]	August 2022	2,388,581
27	50018654465 + 54465500186 [131]	August 2024	2,368,940
28	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [131]	July 2021	2,358,349
29	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [131]	February 2022	2,307,015
30	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [131]	December 2023	2,239,990
31	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [131]	1 March 2018	2,201,714
32	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [131]	December 2023	2,181,134
33	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [131]	July 2024	2,174,370
34	F(10367321) [131]	10 August 2024	2,166,642
35	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [131]	July 2024	2,166,255
36	34532794 + 45327943 [131]	October 2023	2,162,693
37	F(10317107) [131]	27 July 2024	2,156,148
38	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [131]	27 October 2017	2,131,318
39	360834356345 + 356345360834 [131]	February 2024	2,003,304
40	360339356572 + 356572360339 [131]	May 2024	2,000,656

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• Largest known prime number