2 674 297 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
126319480332258549449	21	66.8	2020-09-09 13:40:58
2900200248215547426727	22	71.3	2016-04-17 04:49:13
556359141825652089367369	24	78.9	2019-06-12 09:08:39

ECM

Digits	B1	Curves
25	50000	70 / 280

Estimated T-Level: 21.3 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Martin Fuchs	6A2B9CD8DACEA906	0
Verified (Factored)	1999-04-13	Bjørn Roger Larsen	6A2B9CD8DACEA906	1893824

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-18	Oliver Kruse	873A58AE8C8E94FC	1	2533296	5	3
Verified (Factored)	2017-12-03	kkmrkkblmbrbk	873A58AE8C8E94FC	1	593687	5	3
Verified (Factored)	2019-06-12	Niels_Mache_Nextcloud	873A58AE8C8E94FC	2	668970	5	3
Verified	2020-09-11	Klaus Nordmann	873A58AE8C8E94FC	3	1380545	5	3
Verified	2024-12-28	kkmrkkblmbrbk	873A58AE8C8E94FC	3	1660246	5	3

P-1 factors

Date	Factor	B1	B2
2019-06-12	556359141825652089367369	2000000	60000000

History

Date	User	Type	Result
2024-12-29	Team_Inspector	CERT	PRP Certification Proof certified good
2024-12-28	kkmrkkblmbrbk	C-PRP	M2674297/126319480332258549449/2900200248215547426727/556359141825652089367369 : 873A58AE8C8E94FC PRP proof power = 7 PRP: Verified Proof certified good
2020-09-11	Klaus Nordmann	C-PRP	M2674297/2900200248215547426727/556359141825652089367369/126319480332258549449 : 873A58AE8C8E94FC PRP proof power = 7 PRP: Verified PRP proof never uploaded
2020-09-09	TJAOI	F	Factor: 126319480332258549449 / TF: 66-67
2019-06-12	Niels_Mache_Nextcloud	C-PRP	M2674297/2900200248215547426727/556359141825652089367369 : 873A58AE8C8E94FC PRP: Verified (Factored) PRP without proof (not generated)
2019-06-12	alpertron	F-PM1	Factor: 556359141825652089367369 / (P-1, B1=2000000, B2=60000000, E=12)
2017-12-03	kkmrkkblmbrbk	C-PRP	M2674297/2900200248215547426727 : 873A58AE8C8E94FC PRP: Verified (Factored) PRP without proof (not generated)
2017-10-18	Oliver Kruse	C-PRP	M2674297/2900200248215547426727 : 873A58AE8C8E94FC PRP: Verified (Factored) PRP without proof (not generated)
2016-04-17	Jason U	F-ECM	Factor: 2900200248215547426727 / (ECM curve 2, B1=50000, B2=5000000)
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2016-01-25	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-23	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-23	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-20	Grant McCracken	NF	no factor from 2^61 to 2^62
2010-12-07	markr	NF-PM1	B1=105000, B2=2283750, E=6
2010-11-19	Joss	NF-PM1	B1=20000
2009-01-27	Sturle Sunde	NF	no factor from 2^60 to 2^61