3 761 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
55655279	8	25.7	old
1264967782151	13	40.2	old
1878874879423	13	40.8	old

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	11116 / 40830

Estimated T-Level: 51.4 ⓘ

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	39DC95BB60DEB496	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	39DC95BB60DEB496	3	230	1	3
Verified	2020-04-17	Oliver Kruse	23CEA6131CA09688	3	1074	5	3
Verified	2024-02-03	Wentao Huang	23CEA6131CA09688	3	102	5	3

History

Date	User	Type	Result
2024-06-20	masser	NF-PM1	B1=77000000000, B2=37089566618504400
2024-02-03	Wentao Huang	C-PRP	M3761/55655279/1264967782151/1878874879423 : 23CEA6131CA09688 PRP: Verified PRP without proof (small exponent)
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3761/55655279/1264967782151/1878874879423 : 23CEA6131CA09688 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3761/55655279/1264967782151/1878874879423 : 39DC95BB60DEB496 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3761/55655279/1264967782151/1878874879423 : 39DC95BB60DEB496 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3761/55655279/1264967782151/1878874879423 : 39DC95BB60DEB496 PRP without proof (not generated)