4 657 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
1145623	7	20.1	old
2509129333878681799	19	61.1	old
4871218870823614131945671523686938323630725719	46	151.8	2021-04-05 11:56:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	15819 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	A3C8EB3DA9C09EEA	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	A3C8EB3DA9C09EEA	2	1491	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	78A8B35E518C10F6	2	764	5	3
Verified	2021-04-05	mikr	78A8B35E518C10F6	3	448	5	3
Verified	2021-04-09	Zero	78A8B35E518C10F6	3	2787	5	3

History

Date	User	Type	Result
2023-05-27	-Anonymous-	NF-PM1	B1=68000000000, B2=682015465283852700
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-04-09	Zero	C-PRP	M4657/1145623/2509129333878681799/4871218870823614131945671523686938323630725719 : 78A8B35E518C10F6 PRP: Verified PRP without proof (small exponent)
2021-04-05	mikr	C-PRP	M4657/1145623/2509129333878681799/4871218870823614131945671523686938323630725719 : 78A8B35E518C10F6 PRP: Verified PRP without proof (small exponent)
2021-04-05	Ryan Propper	F-ECM	Factor: 4871218870823614131945671523686938323630725719 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=7675372023159016818)
2020-04-17	Oliver Kruse	C-PRP	M4657/1145623/2509129333878681799 : 78A8B35E518C10F6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4657/1145623/2509129333878681799 : A3C8EB3DA9C09EEA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4657/1145623/2509129333878681799 : A3C8EB3DA9C09EEA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4657/1145623/2509129333878681799 : A3C8EB3DA9C09EEA PRP without proof (not generated)