2 578 801 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁶³

Factored

Factor	Digits	Bits	Date
56733623	8	25.8	old
7112333159	10	32.7	2008-07-14 20:25:08
42577938610751	14	45.3	2014-01-16 17:27:56

ECM

Digits	B1	Curves
25	50000	160 / 280

Estimated T-Level: 22.9 ⓘ

TF below 2^71 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-15	Oliver Kruse	D7B097B79AFCABF1	3	1014426	5	3
Verified	PRP without proof (not generated)	2017-12-01	storm5510	D7B097B79AFCABF1	3	1465976	5	3

History

Date	User	Type	Result
2022-09-03	USAFSS	NF-PM1	B1=300000, B2=235092660
2017-12-01	storm5510	C-PRP	M2578801/56733623/7112333159/42577938610751 : D7B097B79AFCABF1
2017-10-15	Oliver Kruse	C-PRP	M2578801/56733623/7112333159/42577938610751 : D7B097B79AFCABF1
2014-01-16	TJAOI	F	Factor: 42577938610751
2008-07-14	George Woltman	F-ECM	Factor: 7112333159

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