414 277 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
1359490574647	13	40.3	old
5311941338748704729554494253109270641	37	122.0	2014-11-24 13:31:46

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	2017-09-23	Oliver Kruse	0FBC82FDB64AD347	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	0FBC82FDB64AD347	2	385784	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	D6638CADE3F781__	2	384576	5	3

P-1 factors

Date	Factor	B1	B2
2014-11-24	5311941338748704729554494253109270641	3000000	100000000

History

Date	User	Type	Result
2021-08-05	ViliamF	NF-PM1	B1=30000000, B2=3990000000
2020-04-18	Oliver Kruse	C-PRP	M414277/1359490574647/5311941338748704729554494253109270641 : D6638CADE3F781__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M414277/1359490574647/5311941338748704729554494253109270641 : 0FBC82FDB64AD347 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M414277/known_factors : 0FBC82FDB64AD347 PRP without proof (not generated)
2014-11-24	alpertron	F-PM1	Factor: 5311941338748704729554494253109270641 / (P-1, B1=3000000, B2=100000000, E=12)