2 612 167 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶³

Factored

Factor	Digits	Bits	Date
26121671	8	24.6	old
731406761	9	29.4	2008-07-14 20:29:06
2106576852817	13	40.9	2008-07-14 20:29:06
3159679192145748473	19	61.5	2016-04-28 11:44:15

ECM

Digits	B1	Curves
25	50000	85 / 280

Estimated T-Level: 21.5 ⓘ

TF below 2^66 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	1313D3A1FDAAC941	4	98199	5	3
Verified	PRP without proof (not generated)	2017-12-02	storm5510	1313D3A1FDAAC941	4	689116	5	3

History

Date	User	Type	Result
2019-07-04	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-12-02	storm5510	C-PRP	M2612167/26121671/2106576852817/731406761/3159679192145748473 : 1313D3A1FDAAC941
2017-10-15	Oliver Kruse	C-PRP	M2612167/26121671/2106576852817/731406761/3159679192145748473 : 1313D3A1FDAAC941
2016-04-28	TJAOI	F	Factor: 3159679192145748473
2008-07-14	George Woltman	F-ECM	Factor: 731406761
2008-07-14	George Woltman	F-ECM	Factor: 2106576852817

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