3 451 681 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
55926834776543	14	45.7	old

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	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-06	Oliver Kruse	467CE96E6441DED7	1	1099071	5	3
Verified	2017-12-16	kkmrkkblmbrbk	467CE96E6441DED7	1	1602897	5	3

History

Date	User	Type	Result
2022-01-24	Joss	NF-PM1	B1=1000000, B2=114656850
2021-06-11	Joss	NF	no factor from 2^67 to 2^68
2021-03-17	Joss	NF	no factor from 2^66 to 2^67
2021-03-17	Joss	NF-PM1	B1=345168, B2=3451681, E=6
2021-02-27	Joss	NF	no factor from 2^65 to 2^66
2017-12-16	kkmrkkblmbrbk	C-PRP	M3451681/55926834776543 : 467CE96E6441DED7 PRP: Verified PRP without proof (not generated)
2017-11-06	Oliver Kruse	C-PRP	M3451681/55926834776543 : 467CE96E6441DED7 PRP: Verified PRP without proof (not generated)