3 370 013 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁴

Factored

Factor	Digits	Bits	Date
15826362654105750886423	23	73.7	2011-12-07 03:50:05

ECM

Digits	B1	Curves
25	50000	54 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Daniel Lilliehöök	DE1ADABA5C294D09	0	Mlucas,Ernst Mayer,v2.4d,(aka E1)
Factored		Dax Prather	DE1ADABA5C294D09	0	Windows,Prime95,v14,(aka WQ1)
Bad		Douglas Liston	FFFFFFFFFFFFFFFE	0	Mlucas,Ernst Mayer,v2.4c and earlier,(aka E)
Factored	1998-07-29	Garrett Hildebrand	DE1ADABA5C294D09	0	Windows,Prime95,v15,(aka WR1)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-11-05	Oliver Kruse	0E5D588B5686D588	1	1789877	5	3
Verified	PRP without proof (not generated)	2017-12-15	kkmrkkblmbrbk	0E5D588B5686D588	1	2389931	5	3

History

Date	User	Type	Result
2022-09-06	Joss	NF-PM1	B1=1123337, B2=213444000
2022-04-23	LordJulius	NF	no factor TF: 66-67
2022-04-23	LordJulius	NF	no factor TF: 64-65
2022-04-23	LordJulius	NF	no factor TF: 65-66
2022-04-23	LordJulius	NF	no factor TF: 62-63
2022-04-23	LordJulius	NF	no factor TF: 63-64
2022-04-23	LordJulius	NF	no factor TF: 1-61
2022-04-23	LordJulius	NF	no factor TF: 1-62
2022-01-09	Joss	NF-PM1	B1=1123337, B2=111642300
2021-07-08	Joss	NF	no factor TF: 67-68
2021-03-13	Joss	NF-PM1	B1=337001, B2=3707014
2017-12-15	kkmrkkblmbrbk	C-PRP	M3370013/15826362654105750886423 : 0E5D588B5686D588
2017-11-05	Oliver Kruse	C-PRP	M3370013/15826362654105750886423 : 0E5D588B5686D588
2011-12-07	S00030	F-ECM	Factor: 15826362654105750886423
2011-10-16	USAFSS	NF-PM1	B1=55000, B2=907500, E=6
2011-08-21	markr	NF	no factor TF: 61-62
2009-07-09	Carsten Kossendey	NF-PM1	B1=15000, B2=206250
1998-07-29	-anonymous-	C-LL	DE1ADABA5C294D09
1998-04-11	-anonymous-	NF	no factor TF: 1-60