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.

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 ${\displaystyle x^{2}+x+1}$.

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

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[121]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [121]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [121]	19 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [121]	June 2021	4,556,209
4	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [121]	November 2023	4,069,900
5	213380298 − 27 [121]	March 2021	4,027,872
6	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [121]	September 2013	4,025,533
7	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [121]	September 2013	4,017,941
8	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [121]	3 July 2022	3,829,294
9	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [121]	November 2023	3,804,150
10	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [121]	10 April 2023	3,789,365
11	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [121]	July 2020	3,763,995
12	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [121]	February 2024	3,602,847
13	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [121]	January 2024	3,452,542
14	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [121]	December 2024	3,356,362
15	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [121]	9 July 2020	3,143,811
16	29092392 + 40291 [121]	February 2011	2,737,083
17	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [121]	June 2025	2,644,652
18	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [121]	October 2023	2,614,858
19	F(11964299) [121]	28 June 2025	2,500,391
20	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [121]	3 June 2024	2,482,834
21	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [121]	August 2020	2,449,236
22	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [121]	August 2022	2,388,581
23	50018654465 + 54465500186 [121]	August 2024	2,368,940
24	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [121]	July 2021	2,358,349
25	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [121]	February 2022	2,307,015
26	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [121]	December 2023	2,239,990
27	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [121]	1 March 2018	2,201,714
28	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [121]	December 2023	2,181,134
29	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [121]	July 2024	2,174,370
30	F(10367321) [121]	10 August 2024	2,166,642
31	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [121]	July 2024	2,166,255
32	34532794 + 45327943 [121]	October 2023	2,162,693
33	F(10317107) [121]	27 July 2024	2,156,148
34	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [121]	27 October 2017	2,131,318
35	360834356345 + 356345360834 [121]	February 2024	2,003,304
36	360339356572 + 356572360339 [121]	May 2024	2,000,656

• Largest known prime number

• 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