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	93×2^9235048 + 1	7 May 2025	2,780,029
185	49×2^9187790 + 1	11 September 2022	2,765,803
186	6369619# + 1	12 August 2024	2,765,105
187	27653×2^9167433 + 1 ^[38]	8 June 2005	2,759,677
188	6354977# − 1	12 August 2024	2,758,832
189	90527×2^9162167 + 1	30 June 2010	2,758,093
190	6795×2^9144320 − 1	31 March 2021	2,752,719
191	31×2^9088085 − 1	27 August 2024	2,735,788
192	75×2^9079482 + 1	25 July 2023	2,733,199
193	1323365×116^1323365 + 1 ^[70]	18 January 2018	2,732,038
194	57×2^9075622 − 1	7 August 2022	2,732,037
195	10^2718281-5×10^1631138-5×10^1087142 − 1	6 August 2024	2,718,281
196	63838×5^3887851 − 1 ^[71]	19 June 2022	2,717,497
197	13×2^8989858 + 1	10 March 2020	2,706,219
198	4159×2^8938471 − 1	19 April 2022	2,690,752
199	273809×2^8932416 − 1 ^[72]	13 December 2017	2,688,931
200	93×2^8898285 + 1	4 March 2024	2,678,653
201	2×3^5570081 + 1	14 February 2020	2,657,605
202	25×2^8788628 + 1 ^[73]	1 March 2021	2,645,643
203	2038×366^1028507 − 1 ^[74]	4 April 2016	2,636,562
204	64598×5^3769854 − 1	14 June 2022	2,635,020
205	63×2^8741225 + 1	6 May 2024	2,631,373
206	8×785⁹⁰⁰³²⁵ + 1	4 June 2022	2,606,325
207	17×2^8636199 + 1 ^[75]	17 February 2021	2,599,757
208	75898⁵²⁴²⁸⁸ + 1 ^[76]	19 November 2011	2,558,647
209	25×2^8456828 + 1 ^[77]	27 January 2021	2,545,761
210	39×2^8413422 + 1 ^[78]	23 January 2021	2,532,694
211	31×2^8348000 + 1 ^[79]	19 January 2021	2,513,000
212	27×2^8342438 − 1 ^[80]	1 February 2021	2,511,326
213	3867×2^8261084 − 1	14 April 2021	2,486,838
214	101×2^8152967 + 1	2 December 2023	2,454,290
215	273662×5^3493296 − 1 ^[81]	7 December 2021	2,441,715
216	81×2^8109236 + 1	9 September 2022	2,441,126
217	11×2^8103463 + 1	6 March 2020	2,439,387
218	102818×5^3440382 − 1 ^[82]	8 October 2021	2,404,729
219	11×2^7971110 − 1	25 November 2019	2,399,545
220	27×2^7963247 + 1 ^[83]	14 January 2021	2,397,178
221	3177×2^7954621 − 1	13 June 2021	2,394,584
222	39×2^7946769 + 1 ^[84]	14 January 2021	2,392,218
223	7×6^3072198 + 1	4 August 2019	2,390,636
224	3765×2^7904593 − 1	10 January 2021	2,379,524
225	29×2^7899985 + 1 ^[85]	14 January 2021	2,378,134
226	5113×2^7895471 − 1	27 November 2022	2,376,778
227	861×2^7895451 − 1	21 February 2021	2,376,771
228	75×2^7886683 + 1	4 September 2023	2,374,131
229	2661×2^7861390 - 1	28 December 2024	2,366,518
230	99×2^7830910 + 1	24 April 2024	2,357,341
231	28433×2^7830457 + 1 ^[38]	31 December 2004	2,357,207
232	2589×2^7803339 − 1	21 August 2022	2,349,043
233	59×2^7792307 + 1	24 April 2024	2,345,720
234	101×2^7784453 + 1	24 April 2024	2,343,356
235	95×2^7778585 + 1	24 April 2024	2,341,590
236	8401×2^7767655 − 1	24 April 2023	2,338,302
237	9693×2^7767343 − 1	17 November 2023	2,338,208
238	5×2^7755002 − 1	23 September 2021	2,334,489
239	2945×2^7753232 − 1	27 November 2022	2,333,959
240	2×836⁷⁹⁸⁴³¹ + 1	10 September 2024	2,333,181
241	63×2^7743186 + 1	24 April 2024	2,330,934
242	2545×2^7732265 − 1	13 January 2021	2,327,648
243	5539×2^7730709 − 1	15 January 2021	2,327,180
244	4817×2^7719584 − 1	13 June 2021	2,323,831
245	183×558⁸⁴²⁷⁵² + 1	23 August 2024	2,314,734
246	1341174×53^1341174 + 1 ^[86]	21 August 2017	2,312,561
247	9467×2^7680034 − 1	20 February 2022	2,311,925
248	45×2^7661004 + 1 ^[87]	13 December 2020	2,306,194
249	15×2^7619838 + 1 ^[88]	6 December 2020	2,293,801
250	3597×2^7580693 − 1	10 January 2021	2,282,020
251	5256037# + 1	6 August 2024	2,281,955
252	3129×2^7545557 − 1	14 March 2023	2,271,443
253	7401×2^7523295 − 1	21 February 2021	2,264,742
254	45×2^7513661 + 1 ^[89]	12 November 2020	2,261,839
255	$\Phi _{3}(-558640^{196608})$	11 January 2017	2,259,865
256	2739×2^7483537 − 1	1 May 2025	2,252,773
257	9×2^7479919 − 1	3 June 2023	2,251,681
258	1875×2^7474308 − 1	21 August 2022	2,249,995
259	69×2^7452023 + 1	23 March 2023	2,243,285
260	1281879×2^7447178 + 1	27 December 2023	2,241,831
261	9107×2^7417464 − 1	3 May 2025	2,232,884
262	4×5^3189669 − 1	12 July 2022	2,229,484
263	29×2^7374577 + 1 ^[90]	27 October 2020	2,219,971
264	2653×2^7368343 − 1	18 September 2024	2,218,096
265	21555×2^7364128 − 1	4 September 2024	2,216,828
266	3197×2^7359542 − 1	27 November 2022	2,215,447
267	109838×5^3168862 − 1 ^[91]	13 August 2020	2,214,945
268	95×2^7354869 + 1	25 September 2023	2,214,039
269	101×2^7345194 − 1	5 October 2019	2,211,126
270	85×2^7333444 + 1	25 September 2023	2,207,589
271	15×2^7300254 + 1 ^[92]	25 October 2020	2,197,597
272	422429! + 1	21 February 2022	2,193,027
273	1759×2^7284439 − 1	28 August 2021	2,192,838
274	1909683×14^1909683 + 1	27 May 2023	2,188,748
275	737×2^7269322 − 1	10 August 2017	2,188,287
276	6909×2^7258896 − 1	18 September 2024	2,185,150
277	93×2^7241494 + 1	25 September 2023	2,179,909
278	118568×5^3112069 + 1 ^[93]	1 May 2020	2,175,248
279	4215×2^7221386 − 1	27 December 2024	2,173,858
280	40×257⁹⁰¹⁶³² + 1	11 September 2024	2,172,875
281	1685×2^7213108 − 1	13 April 2025	2,171,366
282	580633×2^7208783 − 1	15 February 2024	2,170,066
283	6039×2^7207973 − 1	24 March 2021	2,169,820
284	502573×2^7181987 − 1 ^[94]	4 October 2014	2,162,000
285	402539×2^7173024 − 1 ^[95]	2 October 2014	2,159,301
286	3343×2^7166019 − 1	29 September 2016	2,157,191
287	4137×2^7132569 − 1	11 April 2025	2,147,121
288	161041×2^7107964 + 1 ^[96]	6 January 2015	2,139,716
289	294×213⁹¹⁸⁹⁵² − 1	19 September 2023	2,139,672
290	27×2^7046834 + 1 ^[97]	11 October 2018	2,121,310
291	1759×2^7046791 − 1	28 August 2021	2,121,299
292	327×2^7044001 − 1	13 January 2021	2,120,459
293	5×2^7037188 − 1	22 September 2021	2,118,406
294	3×2^7033641 + 1 ^[98]	21 February 2011	2,117,338
295	625783×2^7031319 − 1	10 February 2024	2,116,644
296	33661×2^7031232 + 1 ^[38]	30 October 2007	2,116,617
297	$\Phi _{3}(-237804^{196608})$	6 January 2017	2,114,016
298	207494×5^3017502 − 1	16 March 2020	2,109,149
299	15×2^6993631 − 1	25 August 2021	2,105,294
300	8943501×2^6972593 − 1	8 January 2022	2,098,967
301	6020095×2^6972593 − 1	4 September 2022	2,098,967
302	2^6972593 − 1 ^[99]	1 June 1999	2,098,960
303	273×2^6963847 − 1	16 November 2022	2,096,330
304	6219×2^6958945 − 1	7 January 2021	2,094,855
305	51×2^6945567 + 1	26 May 2020	2,090,826
306	3323×2^6921196 − 1	18 September 2024	2,083,492
307	238694×5^2979422 − 1 ^[100]	12 March 2020	2,082,532
308	4×72^1119849 − 1 ^[74]	7 September 2016	2,079,933
309	33×2^6894190 − 1	27 July 2021	2,075,360
310	4778027# − 1	31 July 2024	2,073,926
311	2345×2^6882320 − 1	13 April 2022	2,071,789
312	57×2^6857990 + 1	17 August 2023	2,064,463
313	146264×5^2953282 − 1 ^[101]	9 March 2020	2,064,261
314	69×2^6838971 − 1	1 March 2020	2,058,738
315	35816×5^2945294 − 1 ^[102]	5 March 2020	2,058,677
316	127×2^6836153 − 1	25 June 2018	2,057,890
317	19×2^6833086 + 1 ^[103]	24 October 2020	2,056,966
318	65×2^6810465 + 1	22 September 2023	2,050,157
319	40597×2^6808509 − 1 ^[104]	25 December 2013	2,049,571
320	283×2^6804701 − 1	19 January 2020	2,048,431
321	1861209×2^6789999 + 1	2 December 2020	2,044,000
322	5817×2^6789459 − 1	9 January 2021	2,043,835
323	62311952²⁶²¹⁴⁴ + 1	3 May 2025	2,043,301
324	62199610²⁶²¹⁴⁴ + 1	5 May 2025	2,043,095
325	62152830²⁶²¹⁴⁴ + 1	1 May 2025	2,043,010
326	62136706²⁶²¹⁴⁴ + 1	2 May 2025	2,042,980
327	8435×2^6786180 − 1	7 January 2021	2,042,848
328	61238184²⁶²¹⁴⁴ + 1	21 April 2025	2,041,322
329	59145944²⁶²¹⁴⁴ + 1	29 March 2025	2,037,364
330	58936230²⁶²¹⁴⁴ + 1	28 March 2025	2,036,960
331	58870004²⁶²¹⁴⁴ + 1	28 March 2025	2,036,832
332	58846688²⁶²¹⁴⁴ + 1	28 March 2025	2,036,787
333	58333324²⁶²¹⁴⁴ + 1	28 March 2025	2,035,789
334	58288282²⁶²¹⁴⁴ + 1	28 March 2025	2,035,701
335	57643582²⁶²¹⁴⁴ + 1	28 March 2025	2,034,435
336	57594478²⁶²¹⁴⁴ + 1	28 March 2025	2,034,338
337	57478518²⁶²¹⁴⁴ + 1	28 March 2025	2,034,108
338	57429230²⁶²¹⁴⁴ + 1	27 March 2025	2,034,111
339	51×2^6753404 + 1	26 May 2020	2,032,979
340	93×2^6750726 + 1	18 September 2023	2,032,173
341	56303352²⁶²¹⁴⁴ + 1	27 March 2025	2,031,757
342	56295176²⁶²¹⁴⁴ + 1	26 March 2025	2,031,740
343	55952434²⁶²¹⁴⁴ + 1	26 March 2025	2,031,045
344	55892864²⁶²¹⁴⁴ + 1	27 March 2025	2,030,920
345	69×2^6745775 + 1	21 March 2023	2,030,683
346	55702322²⁶²¹⁴⁴ + 1	27 March 2025	2,030,535
347	55695224²⁶²¹⁴⁴ + 1	25 March 2025	2,030,520
348	55169618²⁶²¹⁴⁴ + 1	25 March 2025	2,029,441
349	55007338²⁶²¹⁴⁴ + 1	25 March 2025	2,029,105
350	54852328²⁶²¹⁴⁴ + 1	25 March 2025	2,028,784
351	54528918²⁶²¹⁴⁴ + 1	26 March 2025	2,028,111
352	54044092²⁶²¹⁴⁴ + 1	24 March 2025	2,027,094
353	53903472²⁶²¹⁴⁴ + 1	24 March 2025	2,026,797
354	53750036²⁶²¹⁴⁴ + 1	24 March 2025	2,026,473
355	53616962²⁶²¹⁴⁴ + 1	28 March 2025	2,026,191
356	53311612²⁶²¹⁴⁴ + 1	24 March 2025	2,025,540
357	53008094²⁶²¹⁴⁴ + 1	23 March 2025	2,024,890
358	52648144²⁶²¹⁴⁴ + 1	21 March 2025	2,024,115
359	52599274²⁶²¹⁴⁴ + 1	20 March 2025	2,024,009
360	52592976²⁶²¹⁴⁴ + 1	21 March 2025	2,023,995
361	51992174²⁶²¹⁴⁴ + 1	16 March 2025	2,022,687
362	51852794²⁶²¹⁴⁴ + 1	14 March 2025	2,022,382
363	51714136²⁶²¹⁴⁴ + 1	13 March 2025	2,022,077
364	51283286²⁶²¹⁴⁴ + 1	9 March 2025	2,021,124
365	51125138²⁶²¹⁴⁴ + 1	7 March 2025	2,020,773
366	9995×2^6711008 − 1	31 December 2020	2,020,219
367	50454356²⁶²¹⁴⁴ + 1	1 March 2025	2,019,269
368	50449664²⁶²¹⁴⁴ + 1	28 February 2025	2,019,259
369	50366208²⁶²¹⁴⁴ + 1	28 February 2025	2,019,070
370	50121532²⁶²¹⁴⁴ + 1	27 February 2025	2,018,516
371	49536902²⁶²¹⁴⁴ + 1	25 February 2025	2,017,180
372	49235348²⁶²¹⁴⁴ + 1	23 February 2025	2,016,485
373	49209090²⁶²¹⁴⁴ + 1	23 February 2025	2,016,424
374	48055302²⁶²¹⁴⁴ + 1	18 February 2025	2,013,723
375	47707672²⁶²¹⁴⁴ + 1	16 February 2025	2,012,896
376	39×2^6684941 + 1 ^[105]	20 October 2020	2,012,370
377	47351862²⁶²¹⁴⁴ + 1	15 February 2025	2,012,044
378	47281922²⁶²¹⁴⁴ + 1	13 February 2025	2,011,876
379	47255958²⁶²¹⁴⁴ + 1	13 February 2025	2,011,813
380	6679881×2^6679881 + 1 ^[106]	25 July 2009	2,010,852
381	46831458²⁶²¹⁴⁴ + 1	11 February 2025	2,010,786
382	46378776²⁶²¹⁴⁴ + 1	8 February 2025	2,009,680
383	45073202²⁶²¹⁴⁴ + 1	21 January 2025	2,006,469
384	45007104²⁶²¹⁴⁴ + 1	19 January 2025	2,006,202
385	44819108²⁶²¹⁴⁴ + 1	14 January 2025	2,005,786
386	44666524²⁶²¹⁴⁴ + 1	12 January 2025	2,005,397
387	37×2^6660841 − 1 ^[74]	30 July 2014	2,005,115
388	44144624²⁶²¹⁴⁴ + 1	29 December 2024	2,004,059
389	44030166²⁶²¹⁴⁴ + 1	30 December 2024	2,003,764
390	43330794²⁶²¹⁴⁴ + 1	3 December 2024	2,001,941
391	39×2^6648997 + 1 ^[107]	20 October 2020	2,001,550
392	42781592²⁶²¹⁴⁴ + 1	18 November 2024	2,000,489
393	10^2000007 − 10^1127194 − 10⁸⁷²⁸¹² − 1	12 January 2024	2,000,007
394	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