4 764 853 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 2⁶⁵

Factored

Factor	Digits	Bits	Date
89655474049	11	36.4	old
116733305999876848039	21	66.7	2020-07-14 09:16:35

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 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)	2017-09-20	kkmrkkblmbrbk	5972A4784414E362	1	0	1	3
Factored	PRP without proof (not generated)	2018-03-17	ATH	5972A4784414E362	1	4220463	1	3
Verified	PRP without proof (not generated)	2020-07-14	storm5510	18A7934095DF5EA4	2	2502436	5	3
Verified	PRP without proof (not generated)	2020-07-14	oodaira	18A7934095DF5EA4	2	3973701	5	3

History

Date	User	Type	Result
2023-10-09	USAFSS	NF-PM1	B1=240000, B2=91991760
2020-07-14	oodaira	C-PRP	M4764853/89655474049/116733305999876848039 : 18A7934095DF5EA4
2020-07-14	storm5510	C-PRP	M4764853/89655474049/116733305999876848039 : 18A7934095DF5EA4
2020-07-14	TJAOI	F	Factor: 116733305999876848039
2018-03-17	ATH	C-PRP	M4764853/89655474049 : 5972A4784414E362
2017-09-20	kkmrkkblmbrbk	C-PRP	M4764853/89655474049 : 5972A4784414E362