892 523 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
20596544306375057	17	54.2	2007-09-07 16:45:50
5349234191527088823845427841	28	92.1	2024-03-26 15:39:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status		Date	User	Residue	Number of known factors	Shift	Type	Base
composite	Verified (Factored)	2017-09-28	Oliver Kruse	93C5CE67EF8E3A39	1	0	1	3
composite	Verified (Factored)	2017-10-15	kkmrkkblmbrbk	93C5CE67EF8E3A39	1	821606	1	3
composite	Verified (Factored)	2020-04-23	Oliver Kruse	7AC925700F03CBB0	1	650634	5	3
composite	Verified	2024-03-26	Anton Tsvetkov	7AC925700F03CBB0	2	297002	5	3

P-1 factors

Date	Factor	B1	B2
2024-03-26	5349234191527088823845427841	8000000	10086122970

History

Date	User	Type	Result
2024-03-26	Onychomys	CERT	PRP Certification Proof certified good
2024-03-26	Anton Tsvetkov	C-PRP	M892523/20596544306375057/5349234191527088823845427841 : 7AC925700F03CBB0 PRP proof power = 6 PRP: Verified Proof certified good
2024-03-26	Anton Tsvetkov	F-PM1	Factor: 5349234191527088823845427841 / (P-1, B1=8000000, B2=10086122970)
2022-03-07	LordJulius	NF	no factor from 2^58 to 2^59
2020-04-23	Oliver Kruse	C-PRP	M892523/20596544306375057 : 7AC925700F03CBB0 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-15	kkmrkkblmbrbk	C-PRP	M892523/20596544306375057 : 93C5CE67EF8E3A39 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M892523/20596544306375057 : 93C5CE67EF8E3A39 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2007-09-07	Chad Davis	F-ECM	Factor: 20596544306375057