2 444 411 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
7528785881	10	32.8	old
155640537193	12	37.2	2008-07-14 20:23:56
29118923816951	14	44.7	2008-09-30 14:37:02
6700057623627963362969	22	72.5	2023-05-16 06:17:37

ECM

Digits	B1	Curves
25	50000	142 / 280

Estimated T-Level: 22.5 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-13	Oliver Kruse	419DE1F442EBDA17	3	929619	5	3
Verified (Factored)	2017-11-28	storm5510	419DE1F442EBDA17	3	2186914	5	3
Verified	2023-05-22	Funky Waddle	419DE1F442EBDA17	4	683063	5	3

History

Date	User	Type	Result
2023-05-22	George Woltman	CERT	PRP Certification Proof certified good
2023-05-22	Funky Waddle	C-PRP	M2444411/7528785881/155640537193/29118923816951/6700057623627963362969 : 419DE1F442EBDA17 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-16	JackBlock	F-ECM	Factor: 6700057623627963362969 / (ECM curve 4, B1=50000, B2=4350000, Sigma=1755012320573632)
2018-09-28	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-11-28	storm5510	C-PRP	M2444411/7528785881/155640537193/29118923816951 : 419DE1F442EBDA17 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-13	Oliver Kruse	C-PRP	M2444411/7528785881/155640537193/29118923816951 : 419DE1F442EBDA17 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 29118923816951
2008-07-14	George Woltman	F-ECM	Factor: 155640537193