3 024 457 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
18146743	8	24.1	old
29412907650283388890231	23	74.6	2022-01-15 14:59:35

ECM

Digits	B1	Curves
25	50000	273 / 280

Estimated T-Level: 24.9 ⓘ

TF below 2^78 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-27	Oliver Kruse	711315CE9D55A1D6	1	1193998	5	3
Verified (Factored)	2017-12-10	kkmrkkblmbrbk	711315CE9D55A1D6	1	2620366	5	3
Verified	2022-01-17	SRJ2877	711315CE9D55A1D6	2	245055	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-15	29412907650283388890231	1000000	119912100

History

Date	User	Type	Result
2022-03-11	LordJulius	NF	no factor from 2^66 to 2^67
2022-01-17	curtisc	CERT	PRP Certification Proof certified good
2022-01-17	SRJ2877	C-PRP	M3024457/18146743/29412907650283388890231 : 711315CE9D55A1D6 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-15	Joss	F-PM1	Factor: 29412907650283388890231 / (P-1, B1=1000000, B2=119912100)
2021-12-23	Joss	NF	no factor from 2^68 to 2^69
2021-03-25	Joss	NF	no factor from 2^67 to 2^68
2021-01-18	Joss	NF	no factor from 2^65 to 2^66
2020-10-18	Joss	NF-PM1	B1=302445, B2=3024457, E=6
2020-10-17	Joss	NF-PM1	B1=302445
2017-12-10	kkmrkkblmbrbk	C-PRP	M3024457/18146743 : 711315CE9D55A1D6 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-27	Oliver Kruse	C-PRP	M3024457/18146743 : 711315CE9D55A1D6 PRP: Verified (Factored) PRP without proof (not generated)