500 431 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
1872889039913	13	40.8	old
84836609782016884878567583	26	86.1	2020-08-07 02:29:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	297 / 640

Estimated T-Level: 27.3 ⓘ

TF below 2^86 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	730ED87BFA43E8ED	1	0	1	3
Verified (Factored)	2017-11-03	kkmrkkblmbrbk	730ED87BFA43E8ED	1	8440	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	6E93BC3156D9939B	1	450912	5	3
Verified	2020-08-07	M Miller	6E93BC3156D9939B	2	387837	5	3

History

Date	User	Type	Result
2021-08-02	ViliamF	NF-PM1	B1=10000000, B2=1110000000
2020-08-07	M Miller	C-PRP	M500431/1872889039913/84836609782016884878567583 : 6E93BC3156D9939B PRP: Verified PRP without proof (small exponent)
2020-08-07	nordi	F-ECM	Factor: 84836609782016884878567583 / (ECM curve 97, B1=250000, B2=25000000, Sigma=7935711561686730)
2020-04-18	Oliver Kruse	C-PRP	M500431/1872889039913 : 6E93BC3156D9939B PRP: Verified PRP without proof (small exponent)
2017-11-03	kkmrkkblmbrbk	C-PRP	M500431/1872889039913 : 730ED87BFA43E8ED PRP: Verified PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M500431/1872889039913 : 730ED87BFA43E8ED PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12