2 500 753 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 2⁶³

Factored

Factor	Digits	Bits	Date
87228344541277631	17	56.3	old
115729542782296649	18	56.7	2015-04-22 11:42:45

ECM

Digits	B1	Curves
25	50000	275 / 280

Estimated T-Level: 24.9 ⓘ

TF below 2^78 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	A21534C280ABC86C	2	2151997	5	3
Verified	PRP without proof (not generated)	2017-11-30	storm5510	A21534C280ABC86C	2	762797	5	3

History

Date	User	Type	Result
2022-08-18	USAFSS	NF-PM1	B1=240000, B2=200595780
2022-03-10	LordJulius	NF	no factor TF: 64-65
2022-03-10	LordJulius	NF	no factor TF: 65-66
2022-03-10	LordJulius	NF	no factor TF: 66-67
2022-03-10	LordJulius	NF	no factor TF: 62-63
2022-03-10	LordJulius	NF	no factor TF: 63-64
2021-12-14	ANONYMOUS	NF	no factor TF: 67-68
2017-11-30	storm5510	C-PRP	M2500753/87228344541277631/115729542782296649 : A21534C280ABC86C
2017-10-14	Oliver Kruse	C-PRP	M2500753/87228344541277631/115729542782296649 : A21534C280ABC86C
2015-04-22	TJAOI	F	Factor: 115729542782296649