1 935 763 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
30972209	8	24.9	old
20657580833349409	17	54.2	2014-11-09 12:43:08
873245873625126540887	21	69.6	2021-02-14 05:05:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	FE8ECDC15AF0F517	2	0	1	3
Verified (Factored)	2017-10-20	Oliver Kruse	FE8ECDC15AF0F517	2	1101638	1	3
Verified	2021-02-14	mrh	025AFD6CFDB81378	3	371310	5	3

History

Date	User	Type	Result
2021-02-14	Tercariol, C. A. S.	CERT	PRP Certification Proof certified good
2021-02-14	mrh	C-PRP	M1935763/30972209/20657580833349409/873245873625126540887 : 025AFD6CFDB81378 PRP proof power = 7 PRP: Verified Proof certified good
2021-02-14	MarkS	F-ECM	Factor: 873245873625126540887 / (ECM curve 10, B1=50000, B2=5000000, Sigma=2102673501556145)
2017-10-20	Oliver Kruse	C-PRP	M1935763/30972209/20657580833349409 : FE8ECDC15AF0F517 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1935763/20657580833349409/30972209 : FE8ECDC15AF0F517 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-11-09	TJAOI	F	Factor: 20657580833349409 / TF: 54-55