8 121 587 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
538930618280176897	18	58.9	old
578185498213970072719	21	69.0	2022-10-25 08:33:43

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-08-21	Oliver Kruse	4E9FE3E2934064BF	1	3263515	5	3
Verified (Factored)	2020-02-12	oodaira	4E9FE3E2934064BF	1	3416814	5	3
Verified	2022-10-25	Flaukrotist	4E9FE3E2934064BF	2	3192871	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-25	578185498213970072719	2200000	1908376140

History

Date	User	Type	Result
2023-03-01	Flaukrotist	F	Factor: 578185498213970072719 / TF: 68-69
2022-10-26	Joerg Dittmar	CERT	PRP Certification Proof certified good
2022-10-25	Flaukrotist	C-PRP	M8121587/538930618280176897/578185498213970072719 : 4E9FE3E2934064BF PRP proof power = 8 PRP: Verified Proof certified good
2022-10-25	Flaukrotist	F-PM1	Factor: 578185498213970072719 / (P-1, B1=2200000, B2=1908376140)
2022-03-15	Flaukrotist	NF	no factor from 2^67 to 2^68
2020-02-12	oodaira	C-PRP	M8121587/538930618280176897 : 4E9FE3E2934064BF PRP: Verified (Factored) PRP without proof (not generated)
2018-08-21	Oliver Kruse	C-PRP	M8121587/538930618280176897 : 4E9FE3E2934064BF PRP: Verified (Factored) PRP without proof (not generated)