1 083 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
196147035105239	15	47.5	old
7100887859802617423	19	62.6	2016-09-13 11:06:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

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

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	B1B202F29FC238B7	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	4D78CDDBD3AA0D23	2	0	1	3
Verified	2017-10-16	Oliver Kruse	4D78CDDBD3AA0D23	2	198566	1	3
Verified	2018-01-02	ATH	4D78CDDBD3AA0D23	2	1053764	1	3

History

Date	User	Type	Result
2025-09-01	takahashi	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	B1B202F29FC238B7 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-10-03	timc995	NF-PM1	B1=2000000, B2=63130867800
2018-01-02	ATH	C-PRP	M1083451/196147035105239/7100887859802617423 : 4D78CDDBD3AA0D23 PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1083451/196147035105239/7100887859802617423 : 4D78CDDBD3AA0D23 PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M1083451/196147035105239/7100887859802617423 : 4D78CDDBD3AA0D23 PRP: Verified PRP without proof (not generated)
2016-09-13	TJAOI	F	Factor: 7100887859802617423 / TF: 62-63