5 506 307 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
76857399537858249545857	23	76.0	2022-08-12 12:17:41

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-08-10	Stephen Wood	BBCA4758C50912E9	701064
Verified (Factored)	2002-07-14	Shi Quan He	BBCA4758C50912E9	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-08-13	LordJulius	3170F280E327A1BA	1	3668553	5	3

P-1 factors

Date	Factor	B1	B2
2022-08-12	76857399537858249545857	7000000	5960299620

History

Date	User	Type	Result
2022-08-13	curtisc	CERT	PRP Certification Proof certified good
2022-08-13	LordJulius	C-PRP	M5506307/76857399537858249545857 : 3170F280E327A1BA PRP proof power = 7 PRP: Verified Proof certified good
2022-08-12	Sid & Andy	F-PM1	Factor: 76857399537858249545857 / (P-1, B1=7000000, B2=5960299620)
2021-09-17	SRBase	NF	no factor from 2^71 to 2^72
2021-08-24	SRBase	NF	no factor from 2^70 to 2^71
2021-08-18	SRBase	NF	no factor from 2^69 to 2^70
2020-12-23	Dylan Delgado	NF-PM1	B1=1000000, B2=20000000
2020-08-31	TJAOI	NF	no factor from 2^68 to 2^69
2019-09-08	GdS	NF-PM1	B1=200000, B2=6000000, E=12
2018-07-05	ramgeis	NF	no factor from 2^67 to 2^68
2016-07-14	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-08-30	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-03	monst	NF	no factor from 2^64 to 2^65
2014-12-02	Nesowa	NF	no factor from 2^63 to 2^64
2010-04-29	Squeeky_Squirrel	NF-PM1	B1=60000, B2=1035000, E=6
2009-05-01	GrunwalderGIMP	NF	no factor from 2^62 to 2^63