2 544 643 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
61071433	8	25.9	old
101785721	9	26.6	2008-07-14 20:24:53
197619850826591	15	47.5	2014-03-06 11:41:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	56 / 640

Estimated T-Level: 25.4 ⓘ

TF below 2^80 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)	2017-10-14	Oliver Kruse	74A1E8C8C88C81D1	3	1190930	5	3
Verified	PRP without proof (not generated)	2017-12-01	storm5510	74A1E8C8C88C81D1	3	139516	5	3

History

Date	User	Type	Result
2022-08-25	USAFSS	NF-PM1	B1=300000, B2=259451010
2017-12-01	storm5510	C-PRP	M2544643/61071433/101785721/197619850826591 : 74A1E8C8C88C81D1
2017-10-14	Oliver Kruse	C-PRP	M2544643/61071433/101785721/197619850826591 : 74A1E8C8C88C81D1
2014-03-06	TJAOI	F	Factor: 197619850826591
2008-07-14	George Woltman	F-ECM	Factor: 101785721

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