3 697 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
74979034457	11	36.1	old
567182742157007	15	49.0	old
3285437543016437084329	22	71.5	old
531518499546401071530883874588230235737	39	128.6	2017-05-07 11:30:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	13198 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	F0342595607A7A14	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F0342595607A7A14	4	0	1	3
Verified	2017-12-07	ATH	F0342595607A7A14	4	2216	1	3
Verified	2020-04-17	Oliver Kruse	69D53FB576170552	4	2408	5	3
Verified	2024-02-03	Wentao Huang	69D53FB576170552	4	1123	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3697/74979034457/567182742157007/3285437543016437084329/531518499546401071530883874588230235737 : 69D53FB576170552 PRP: Verified PRP without proof (small exponent)
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2021-08-23	H Michaelson	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M3697/74979034457/567182742157007/3285437543016437084329/531518499546401071530883874588230235737 : 69D53FB576170552 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3697/74979034457/567182742157007/3285437543016437084329/531518499546401071530883874588230235737 : F0342595607A7A14 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3697/74979034457/567182742157007/3285437543016437084329/531518499546401071530883874588230235737 : F0342595607A7A14 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3697/known_factors : F0342595607A7A14 PRP without proof (not generated)
2017-05-07	Ismo Laitela	F-ECM	Factor: 531518499546401071530883874588230235737 / (ECM curve 455, B1=11000000, B2=1100000000)