3 503 147 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
75836126257	11	36.1	old
218983960984081	15	47.6	2008-09-30 21:28:20
4501911424164359	16	52.0	2014-07-18 11:52:59
3508895462475670694263	22	71.6	2021-03-29 04:58:34

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)	2017-11-08	alpertron	8CBBBDB8C024157D	3	624273	5	3
Verified (Factored)	2017-11-24	Oliver Kruse	8CBBBDB8C024157D	3	2465759	5	3
Verified	2021-03-30	Oliver Kruse	8CBBBDB8C024157D	4	1337941	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-29	3508895462475670694263	3000000	273000000

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=1401258, B2=507564750
2022-09-02	Joss	NF-PM1	B1=1401258, B2=232097250
2022-03-21	Joss	NF-PM1	B1=1000000, B2=1026342240
2022-01-18	Joss	NF-PM1	B1=1000000, B2=405910050
2022-01-18	Joss	NF	no factor from 2^67 to 2^68
2021-03-30	rbanov	CERT	PRP Certification Proof certified good
2021-03-30	Oliver Kruse	C-PRP	M3503147/75836126257/218983960984081/4501911424164359/3508895462475670694263 : 8CBBBDB8C024157D PRP proof power = 7 PRP: Verified Proof certified good
2021-03-29	ViliamF	F-PM1	Factor: 3508895462475670694263 / (P-1, B1=3000000, B2=273000000)
2017-11-24	Oliver Kruse	C-PRP	M3503147/75836126257/218983960984081/4501911424164359 : 8CBBBDB8C024157D PRP: Verified (Factored) PRP without proof (not generated)
2017-11-08	alpertron	C-PRP	M3503147/75836126257/218983960984081/4501911424164359 : 8CBBBDB8C024157D PRP: Verified (Factored) PRP without proof (not generated)
2014-07-18	-Anonymous-	F	Factor: 4501911424164359
2008-09-30	markr	F	Factor: 218983960984081