246 577 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
887926709780426999	18	59.6	2007-12-15 22:13:21
9033087720724508385569	22	72.9	2016-04-22 12:20:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	221 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	EFDB5437D8EFD18C	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	EFDB5437D8EFD18C	2	220390	1	3
Verified	2020-04-17	Oliver Kruse	0235131C563108B2	2	100471	5	3
Verified	2024-02-03	Wentao Huang	0235131C563108B2	2	198856	5	3

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M246577/887926709780426999/9033087720724508385569 : 0235131C563108B2 PRP proof power = 5 PRP: Verified Proof certified good
2022-04-14	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-08-01	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M246577/887926709780426999/9033087720724508385569 : 0235131C563108B2 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M246577/887926709780426999/9033087720724508385569 : EFDB5437D8EFD18C PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M246577/known_factors : EFDB5437D8EFD18C PRP without proof (not generated)
2016-04-22	TJAOI	F-ECM	Factor: 9033087720724508385569 / (ECM curve 34, B1=50000, B2=5000000)
2007-12-15	Steve Scott	F-ECM	Factor: 887926709780426999