2 058 041 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
12348247	8	23.6	old
2582086158575096656753	22	71.1	2021-08-03 15:25:14
321965911846634086888473066311	30	98.0	2024-04-15 08:50:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	117 / 640

Estimated T-Level: 25.9 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	3F6A94FCEE66A396	1	0	1	3
Verified (Factored)	2017-11-15	kkmrkkblmbrbk	3F6A94FCEE66A396	1	360707	1	3
Verified (Factored)	2021-08-03	SRJ2877	5DE765D5430AD550	2	89258	5	3
Verified	2024-04-15	Naegi Makoto	5DE765D5430AD550	3	2043150	5	3

History

Date	User	Type	Result
2024-04-15	Jan S.	CERT	PRP Certification Proof certified good
2024-04-15	Naegi Makoto	C-PRP	M2058041/12348247/2582086158575096656753/321965911846634086888473066311 : 5DE765D5430AD550 PRP proof power = 7 PRP: Verified Proof certified good
2024-04-15	TJAOI	F-ECM	Factor: 321965911846634086888473066311 / (ECM curve 68, B1=250000, B2=50262795, Sigma=1824481653715459)
2021-08-03	Linear_Petra	CERT	PRP Certification Proof certified good
2021-08-03	SRJ2877	C-PRP	M2058041/12348247/2582086158575096656753 : 5DE765D5430AD550 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-08-03	_p95holder_	F-ECM	Factor: 2582086158575096656753 / (ECM curve 6, B1=50000, B2=5000000)
2017-11-15	kkmrkkblmbrbk	C-PRP	M2058041/12348247 : 3F6A94FCEE66A396 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2058041/12348247 : 3F6A94FCEE66A396 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12