496 609 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
62562567529395780967	20	65.8	old
106341162320527204289	21	66.5	2014-12-06 13:01:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 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	A5898055E9EEF50E	1	0	1	3
Verified	2017-10-18	Oliver Kruse	DB0CEBC417AEE1FD	2	430062	5	3
Verified	2017-10-19	kkmrkkblmbrbk	DB0CEBC417AEE1FD	2	269698	5	3

P-1 factors

Date	Factor	B1	B2
2014-12-06	106341162320527204289	3000000	100000000

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2017-10-19	kkmrkkblmbrbk	C-PRP	M496609/62562567529395780967/106341162320527204289 : DB0CEBC417AEE1FD PRP: Verified PRP without proof (small exponent)
2017-10-18	Oliver Kruse	C-PRP	M496609/62562567529395780967/106341162320527204289 : DB0CEBC417AEE1FD PRP: Verified PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M496609/62562567529395780967/106341162320527204289 : A5898055E9EEF50E PRP: Verified PRP without proof (not generated)
2014-12-06	alpertron	F-PM1	Factor: 106341162320527204289 / (P-1, B1=3000000, B2=100000000, E=12)