10 361 543 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
111241525649	12	36.7	old
14738685701616082950937	23	73.6	2020-05-05 15:20:36

P-1 factors

Date	Factors	B1	B2
2020-05-05	14738685701616082950937	500000	10000000

ECM

Digits	B1	Curves
25	50000	31 / 280

Estimated T-Level: 20.6 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2020-05-01	riccardo uberti	54985439816EE673	1	7280221	5	3
Verified	PRP without proof (not generated)	2020-05-06	Klaus Nordmann	54985439816EE673	2	9231750	5	3

History

Date	User	Type	Result
2021-05-26	riccardo uberti	NF-PP1	Start=2/7, B1=750000, B2=20000000
2021-05-17	riccardo uberti	NF-PP1	Start=6/5, B1=750000, B2=20000000
2020-05-06	Klaus Nordmann	C-PRP	M10361543/111241525649/14738685701616082950937 : 54985439816EE673
2020-05-05	riccardo uberti	F-PM1	Factor: 14738685701616082950937 / B1=500000, B2=10000000
2020-05-01	riccardo uberti	C-PRP	M10361543/111241525649 : 54985439816EE673

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