3 408 787 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
34087871	8	25.0	old
24882792520588697	17	54.5	2014-11-24 12:34:55
411468679942828603483639	24	78.4	2018-10-29 10:29:43

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 (Factored)	2017-11-06	Oliver Kruse	E791154341745885	2	445377	5	3
Verified (Factored)	2017-12-16	kkmrkkblmbrbk	E791154341745885	2	1080266	5	3
Verified	2018-10-31	Oliver Kruse	E791154341745885	3	1046825	5	3

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=1050000, B2=507123540
2022-04-27	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-27	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-27	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-27	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-27	LordJulius	NF	no factor from 2^62 to 2^63
2022-01-07	Joss	NF-PM1	B1=1050000, B2=111642300
2021-08-05	Joss	NF	no factor from 2^67 to 2^68
2020-11-30	Joss	NF-PM1	B1=340878, B2=3408787, E=6
2018-10-31	Oliver Kruse	C-PRP	M3408787/34087871/24882792520588697/411468679942828603483639 : E791154341745885 PRP: Verified PRP without proof (not generated)
2018-10-29	MarkS	F-ECM	Factor: 411468679942828603483639 / (ECM curve 3, B1=50000, B2=5000000)
2017-12-16	kkmrkkblmbrbk	C-PRP	M3408787/34087871/24882792520588697 : E791154341745885 PRP: Verified PRP without proof (not generated)
2017-11-06	Oliver Kruse	C-PRP	M3408787/34087871/24882792520588697 : E791154341745885 PRP: Verified PRP without proof (not generated)
2014-11-24	TJAOI	F	Factor: 24882792520588697 / TF: 54-55