735 557 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
21875683299130553	17	54.3	old
192293780198976939871	21	67.4	2015-10-23 13:48:49
27977609972503934772560177	26	84.5	2023-01-14 20:50:42

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
Verified (Factored)	2017-09-27	Oliver Kruse	6C0B0B7F4E7B9553	2	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	6C0B0B7F4E7B9553	2	0	1	3
Verified (Factored)	2017-11-09	kkmrkkblmbrbk	6C0B0B7F4E7B9553	2	593142	1	3
Verified (Factored)	2020-04-20	Oliver Kruse	CF0D80E120ABC4F1	2	164495	5	3
Verified	2023-01-15	LordJulius	CF0D80E120ABC4F1	3	642442	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-14	27977609972503934772560177	2000000	5219492850

History

Date	User	Type	Result
2023-01-15	metaphysis	CERT	PRP Certification Proof certified good
2023-01-15	LordJulius	C-PRP	M735557/21875683299130553/192293780198976939871/27977609972503934772560177 : CF0D80E120ABC4F1 PRP proof power = 6 PRP: Verified Proof certified good
2023-01-14	USAFSS	F-PM1	Factor: 27977609972503934772560177 / (P-1, B1=2000000, B2=5219492850)
2020-04-20	Oliver Kruse	C-PRP	M735557/21875683299130553/192293780198976939871 : CF0D80E120ABC4F1 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M735557/21875683299130553/192293780198976939871 : 6C0B0B7F4E7B9553 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M735557/21875683299130553/192293780198976939871 : 6C0B0B7F4E7B9553 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M735557/21875683299130553/192293780198976939871 : 6C0B0B7F4E7B9553 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-10-23	TJAOI	F-ECM	Factor: 192293780198976939871 / (ECM curve 12, B1=50000, B2=5000000)