256 057 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
16032752999	11	33.9	old
9518520610084783807153609081081596793	37	122.8	2021-09-04 22:16:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	428 / 640

Estimated T-Level: 28.3 ⓘ

TF below 2^89 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	7F6C960A0D4475CC	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	7F6C960A0D4475CC	1	247378	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	59DAE1787AF1C877	1	147399	5	3
Verified	2021-09-04	SRJ2877	59DAE1787AF1C877	2	132580	5	3

P-1 factors

Date	Factor	B1	B2
2021-09-04	9518520610084783807153609081081596793	30000000	3000000000

History

Date	User	Type	Result
2022-04-27	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-09-05	Simon Josefsson	CERT	PRP Certification Proof certified good
2021-09-04	SRJ2877	C-PRP	M256057/16032752999/9518520610084783807153609081081596793 : 59DAE1787AF1C877 PRP proof power = 5 PRP: Verified Proof certified good
2021-09-04	Oliver Kruse	F-PM1	Factor: 9518520610084783807153609081081596793 / (P-1, B1=30000000, B2=3000000000, E=24)
2020-04-17	Oliver Kruse	C-PRP	M256057/16032752999 : 59DAE1787AF1C877 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M256057/16032752999 : 7F6C960A0D4475CC PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M256057/16032752999 : 7F6C960A0D4475CC PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M256057/16032752999 : 7F6C960A0D4475CC PRP without proof (not generated)