2 136 649 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
8512409617	10	33.0	old
43395341191	11	35.3	2008-07-14 20:20:43
47887342308343	14	45.4	2014-01-21 11:39:26
36517121005684001993	20	65.0	2016-03-25 12:23:24
234431186439079455719	21	67.7	2022-01-19 00:00:05

ECM

Digits	B1	Curves
25	50000	101 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-08	Oliver Kruse	DC57603B20C48EFD	1	0	1	3
Verified (Factored)	2017-10-17	Oliver Kruse	BE5DF58CD8173F4F	4	424351	5	3
Verified (Factored)	2017-11-18	kkmrkkblmbrbk	BE5DF58CD8173F4F	4	1023243	5	3
Verified	2022-01-19	MarkS	BE5DF58CD8173F4F	5	1993775	5	3

P-1 factors

Date	Factor	B1	B2
2016-03-25	36517121005684001993	500000	15000000

History

Date	User	Type	Result
2022-01-20	anotherone	CERT	PRP Certification Proof certified good
2022-01-19	MarkS	C-PRP	M2136649/8512409617/43395341191/47887342308343/36517121005684001993/234431186439079455719 : BE5DF58CD8173F4F PRP proof power = 7 PRP: Verified Proof certified good
2022-01-19	MarkS	F-ECM	Factor: 234431186439079455719 / (ECM curve 7, B1=50000, B2=5000000, Sigma=1757787715977221)
2017-11-18	kkmrkkblmbrbk	C-PRP	M2136649/8512409617/43395341191/47887342308343/36517121005684001993 : BE5DF58CD8173F4F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-17	Oliver Kruse	C-PRP	M2136649/8512409617/43395341191/47887342308343/36517121005684001993 : BE5DF58CD8173F4F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-08	Oliver Kruse	C-PRP	M2136649/8512409617/43395341191/47887342308343/36517121005684001993 : DC57603B20C48EFD PRP: Verified (Factored) PRP without proof (not generated)
2016-03-25	alpertron	F-PM1	Factor: 36517121005684001993 / (P-1, B1=500000, B2=15000000, E=12)
2014-01-21	TJAOI	F	Factor: 47887342308343
2008-07-14	George Woltman	F-ECM	Factor: 43395341191