5 657 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
218122607	9	27.7	old
32179383361340500358185120201931380024862810031660053165689	59	194.4	2024-02-02 19:18:09

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	5385 / 16550

Estimated T-Level: 46.6 ⓘ

TF below 2^150 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	68CD12EA37C972BF	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	68CD12EA37C972BF	1	5470	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	EE2D3A5945630D5B	1	3983	5	3
Verified	2024-02-02	Anton Tsvetkov	PRP_PRP_PRP_PRP_	2	3554	1	3
Verified	2024-02-03	Dobri	PRP_PRP_PRP_PRP_	2	1310	1	3

History

Date	User	Type	Result
2024-02-03	Dobri	P-PRP	M5657/218122607/32179383361340500358185120201931380024862810031660053165689 is a probable prime.
2024-02-02	Anton Tsvetkov	P-PRP	M5657/218122607/32179383361340500358185120201931380024862810031660053165689 is a probable prime.
2024-02-02	Ryan Propper	F-ECM	Factor: 32179383361340500358185120201931380024862810031660053165689 / (ECM curve 13, B1=260000000, B2=7300371108030, Edwards Sigma=4418081174298538)
2023-07-16	-Anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2021-12-14	Lisander Viaene	NF-PM1	B1=1000000, B2=57609844101810
2020-04-17	Oliver Kruse	C-PRP	M5657/218122607 : EE2D3A5945630D5B PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5657/218122607 : 68CD12EA37C972BF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5657/218122607 : 68CD12EA37C972BF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5657/218122607 : 68CD12EA37C972BF PRP without proof (not generated)