3 457 123 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
339021860645480055543967	24	78.2	2021-10-09 21:06:31
1432323958550150534387985793	28	90.2	2021-10-09 21:06:31

ECM

Digits	B1	Curves
25	50000	43 / 280

Estimated T-Level: 20.8 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-06-20	Donald Strom	0F15FBB15048A784	0
Verified (Factored)	1999-07-04	Ken Davis	0F15FBB15048A784	31217

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-10-14	ATH	C71CC22C79F00839	2	523470	5	3

P-1 factors

Date	Factor	B1	B2
2021-10-09	485589133474771485770114759152121176744288082860831	5000000	200000000

History

Date	User	Type	Result
2022-04-10	Joss	NF-PM1	B1=1000000, B2=126668850
2021-10-14	Jerry Allen	CERT	PRP Certification Proof certified good
2021-10-14	ATH	C-PRP	M3457123/1432323958550150534387985793/339021860645480055543967 : C71CC22C79F00839 PRP proof power = 7 PRP: Verified Proof certified good
2021-10-09	mikr	F-PM1	Factor: 485589133474771485770114759152121176744288082860831 / (P-1, B1=5000000, B2=200000000, E=12)
2021-01-06	axn	NF	no factor from 2^68 to 2^69
2019-02-04	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-04-17	Gordon Spence	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-21	HBendtz	NF-PM1	B1=500000, B2=10000000, E=12
2014-08-21	Joss	NF-PM1	B1=78566
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-07	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-31	markr	NF	no factor to 2^62
2009-08-16	Carsten Kossendey	NF-PM1	B1=20000, B2=235000
2009-03-21	S485122	NF	no factor from 2^60 to 2^61