3 714 341 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
23307478410311980800341965793	29	94.2	2023-09-02 23:42:12

ECM

Digits	B1	Curves
25	50000	80 / 280

Estimated T-Level: 21.4 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Bad	1998-02-12	R.J. Romkes	D70B2F016532EE56	0
Verified (Factored)	2000-01-12	Nevskiy Konstantin M	EDC1EFCBC15B6558	58839
Verified (Factored)	2001-01-21	Gordon M. Spence	EDC1EFCBC15B6558	2912715
Verified (Factored)	2001-01-21	Scott Kurowski	EDC1EFCBC15B6558	2986494
Verified (Factored)	2001-03-17	Paul Norland	EDC1EFCBC15B6558	787014

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-09-03	Naegi Makoto	3D571B75E3897B94	1	1824475	5	3
Verified	2023-09-03	Naegi Makoto	3D571B75E3897B94	1	810690	5	3

P-1 factors

Date	Factor	B1	B2
2023-09-02	23307478410311980800341965793	1000000	1508917410

History

Date	User	Type	Result
2023-09-03	FineMojon	CERT	PRP Certification Proof certified good
2023-09-03	Naegi Makoto	C-PRP	M3714341/23307478410311980800341965793 : 3D571B75E3897B94 PRP proof power = 7 PRP: Verified Proof certified good
2023-09-03	LOBES	CERT	PRP Certification Proof certified good
2023-09-03	Naegi Makoto	C-PRP	M3714341/23307478410311980800341965793 : 3D571B75E3897B94 PRP proof power = 7 PRP: Verified Proof certified good
2023-09-02	Joss	F-PM1	Factor: 23307478410311980800341965793 / (P-1, B1=1000000, B2=1508917410)
2021-05-16	axn	NF-PM1	B1=14000000, B2=700000000
2021-03-07	axn	NF	no factor from 2^69 to 2^70
2020-12-14	axn	NF	no factor from 2^68 to 2^69
2019-01-28	TJAOI	NF	no factor from 2^67 to 2^68
2016-10-31	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-01-22	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-22	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-12-23	Squeeky_Squirrel	NF-PM1	B1=245000, B2=7717500, E=12
2012-04-19	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-04-19	Grant McCracken	NF	no factor from 2^61 to 2^62
2010-11-01	Oscar Östlin	NF-PM1	B1=70000, B2=1417500, E=6
2009-03-07	S485122	NF	no factor from 2^60 to 2^61