3 931 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2618047	7	21.3	old
334855651832921	15	48.3	old
74354850955305117401	20	66.0	old
12789640352911910072123481263385686901302602263172680913454473	62	203.0	2020-04-21 12:22:15

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	15539 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	11E5147CC05A790F	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	11E5147CC05A790F	3	0	1	3
Verified (Factored)	2017-12-07	ATH	11E5147CC05A790F	3	2242	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	8004854DB2B69C65	3	1733	5	3
Verified	2020-04-21	M Miller	8004854DB2B69C65	4	2041	5	3
Verified	2020-04-22	atrench	8004854DB2B69C65	4	1436	5	3

History

Date	User	Type	Result
2023-05-15	JacobZ	NF-PM1	B1=66000000000, B2=667136464473408930
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-22	atrench	C-PRP	M3931/2618047/334855651832921/74354850955305117401/12789640352911910072123481263385686901302602263172680913454473 : 8004854DB2B69C65 PRP: Verified PRP without proof (small exponent)
2020-04-21	M Miller	C-PRP	M3931/2618047/334855651832921/74354850955305117401/12789640352911910072123481263385686901302602263172680913454473 : 8004854DB2B69C65 PRP: Verified PRP without proof (small exponent)
2020-04-21	Ryan Propper	F-ECM	Factor: 12789640352911910072123481263385686901302602263172680913454473 / (ECM curve 1, B1=260000000)
2020-04-17	Oliver Kruse	C-PRP	M3931/2618047/334855651832921/74354850955305117401 : 8004854DB2B69C65 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3931/2618047/334855651832921/74354850955305117401 : 11E5147CC05A790F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3931/2618047/334855651832921/74354850955305117401 : 11E5147CC05A790F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3931/known_factors : 11E5147CC05A790F PRP without proof (not generated)