2 897 023 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
69528553	8	26.1	old
713777728981969874503	21	69.3	2023-01-11 21:15:40

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-23	Oliver Kruse	D5A18E68C002D28C	1	2805617	5	3
Verified (Factored)	2017-12-08	kkmrkkblmbrbk	D5A18E68C002D28C	1	1022341	5	3
Verified	2023-01-13	LordJulius	D5A18E68C002D28C	2	670471	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-11	713777728981969874503	209000	149202900

History

Date	User	Type	Result
2023-01-13	curtisc	CERT	PRP Certification Proof certified good
2023-01-13	LordJulius	C-PRP	M2897023/69528553/713777728981969874503 : D5A18E68C002D28C PRP proof power = 7 PRP: Verified Proof certified good
2023-01-11	USAFSS	F-PM1	Factor: 713777728981969874503 / (P-1, B1=209000, B2=149202900)
2017-12-08	kkmrkkblmbrbk	C-PRP	M2897023/69528553 : D5A18E68C002D28C PRP: Verified (Factored) PRP without proof (not generated)
2017-10-23	Oliver Kruse	C-PRP	M2897023/69528553 : D5A18E68C002D28C PRP: Verified (Factored) PRP without proof (not generated)