4 041 601 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
646656161	9	29.3	old
1027722924335722803607	22	69.8	2021-08-04 15:15:34

ECM

Digits	B1	Curves
25	50000	13 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	A97A9D3663FAF0EC	1	0	1	3
Verified (Factored)	2018-01-07	Oliver Kruse	A97A9D3663FAF0EC	1	3883681	1	3
Verified	2021-08-04	ATH	E0B6877DB9A18649	2	1772347	5	3

P-1 factors

Date	Factor	B1	B2
2023-09-21	1027722924335722803607	600000	378656850

History

Date	User	Type	Result
2023-09-21	USAFSS	F-PM1	Factor: 1027722924335722803607 / (P-1, B1=600000, B2=378656850)
2022-09-05	USAFSS	NF-PM1	B1=180000, B2=96593640
2021-08-04	curtisc	CERT	PRP Certification Proof certified good
2021-08-04	ATH	C-PRP	M4041601/646656161/1027722924335722803607 : E0B6877DB9A18649 PRP proof power = 7 PRP: Verified Proof certified good
2021-08-04	ATH	F-PP1	Start=2/7, B1=500000, B2=50000000, Factor: 1027722924335722803607
2018-01-07	Oliver Kruse	C-PRP	M4041601/646656161 : A97A9D3663FAF0EC PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4041601/646656161 : A97A9D3663FAF0EC PRP: Verified (Factored) PRP without proof (not generated)