157 411 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
58286949347334040951	20	65.7	2008-01-25 13:46:38
237562425740270712385631	24	77.7	2016-04-08 13:15:43

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	173 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	6BFE651B36A40689	2	0	1	3
Verified	2017-10-11	kkmrkkblmbrbk	6BFE651B36A40689	2	2474	1	3
Verified	2020-04-17	Oliver Kruse	72C9C09E4DCACD9D	2	81919	5	3
Verified	2024-02-03	Wentao Huang	72C9C09E4DCACD9D	2	93622	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M157411/58286949347334040951/237562425740270712385631 : 72C9C09E4DCACD9D PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M157411/58286949347334040951/237562425740270712385631 : 72C9C09E4DCACD9D PRP: Verified PRP without proof (small exponent)
2017-10-11	kkmrkkblmbrbk	C-PRP	M157411/58286949347334040951/237562425740270712385631 : 6BFE651B36A40689 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M157411/known_factors : 6BFE651B36A40689 PRP without proof (not generated)
2016-12-24	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2016-04-08	TJAOI	F-ECM	Factor: 237562425740270712385631 / (ECM curve 47, B1=50000, B2=5000000)
2008-01-25	Team_Bundu	F-ECM	Factor: 58286949347334040951