3 186 959 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
179001473604823	15	47.3	old
933061183291901516350210027753	30	99.6	2021-01-17 15:30:03

ECM

Digits	B1	Curves
25	50000	55 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-01	Oliver Kruse	3C3B1FE9FC6B3C2C	1	137220	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	3C3B1FE9FC6B3C2C	1	2609219	5	3
Verified	2021-01-19	Sébastien BROUCKE	3C3B1FE9FC6B3C2C	2	374596	5	3

P-1 factors

Date	Factor	B1	B2
2021-01-17	933061183291901516350210027753	318695	3186959

History

Date	User	Type	Result
2022-08-22	Joss	NF-PM1	B1=3186959, B2=354763500
2022-04-02	LordJulius	NF	no factor from 2^66 to 2^67
2022-01-06	Joss	NF-PM1	B1=1374781, B2=116447100
2021-04-09	Joss	NF	no factor from 2^67 to 2^68
2021-01-19	Sébastien BROUCKE	C-PRP	M3186959/179001473604823/933061183291901516350210027753 : 3C3B1FE9FC6B3C2C PRP: Verified PRP without proof (not generated)
2021-01-17	Joss	F-PM1	Factor: 933061183291901516350210027753 / (P-1, B1=318695, B2=3186959, E=6)
2021-01-08	Joss	NF	no factor from 2^65 to 2^66
2021-01-02	Joss	NF-PM1	B1=159347
2017-12-13	kkmrkkblmbrbk	C-PRP	M3186959/179001473604823 : 3C3B1FE9FC6B3C2C PRP: Verified PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3186959/179001473604823 : 3C3B1FE9FC6B3C2C PRP: Verified PRP without proof (not generated)