4 444 091 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 2⁶⁵

Factored

Factor	Digits	Bits	Date
8888183	7	23.1	old
319974553	9	28.3	2008-09-07 23:41:08
636358278473	12	39.2	2008-09-07 23:41:08

P-1 factors

Date	Factors	B1	B2
2021-11-25	No new factors discovered	59000	59000

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
Verified	PRP without proof (not generated)	2017-11-17	Oliver Kruse	E82C97BCF8D4D7D1	3	3607686	5	3
Verified	PRP without proof (not generated)	2017-12-31	kkmrkkblmbrbk	E82C97BCF8D4D7D1	3	3132387	5	3

History

Date	User	Type	Result
2022-08-20	USAFSS	NF-PM1	B1=270000, B2=139635210
2021-11-25	ANONYMOUS	F-PM1	Factor: 1809798096458971047321927127 / B1=59000
2021-05-17	Numberwang	F-PM1	Factor: 1809798096458971047321927127 / B1=23000
2019-09-06	Kriesel	NF	no factor TF: 64-65
2019-09-06	Kriesel	NF	no factor TF: 63-64
2017-12-31	kkmrkkblmbrbk	C-PRP	M4444091/8888183/319974553/636358278473 : E82C97BCF8D4D7D1
2017-11-17	Oliver Kruse	C-PRP	M4444091/8888183/319974553/636358278473 : E82C97BCF8D4D7D1
2008-09-07	Will Edgington	F	Factor: 636358278473
2008-09-07	Will Edgington	F	Factor: 319974553