3 116 783 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
6233567	7	22.6	old
2809140177180084789599634919	28	91.2	2022-08-11 11:12:38

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)	2017-10-30	Oliver Kruse	B1C72A9690C84C97	1	2138976	5	3
Verified (Factored)	2017-12-12	Chang Chia-Tche	B1C72A9690C84C97	1	946035	5	3
Verified	2022-08-12	LordJulius	B1C72A9690C84C97	2	1187036	5	3

P-1 factors

Date	Factor	B1	B2
2022-08-11	2809140177180084789599634919	3116783	3132209850

History

Date	User	Type	Result
2022-08-12	StephenCLipp	CERT	PRP Certification Proof certified good
2022-08-12	LordJulius	C-PRP	M3116783/6233567/2809140177180084789599634919 : B1C72A9690C84C97 PRP proof power = 7 PRP: Verified Proof certified good
2022-08-11	Joss	F-PM1	Factor: 2809140177180084789599634919 / (P-1, B1=3116783, B2=3132209850)
2021-12-18	Joss	NF-PM1	B1=3116783, B2=162134700
2021-12-16	Joss	NF-PM1	B1=3116783, B2=12467132
2021-12-16	Joss	NF-PM1	B1=3116783, B2=9350349
2021-12-16	Joss	NF-PM1	B1=3116783, B2=6233566
2021-12-04	Joss	NF	no factor from 2^68 to 2^69
2021-12-04	Joss	NF-PM1	B1=3116783
2021-03-23	Joss	NF	no factor from 2^67 to 2^68
2021-02-19	Joss	NF	no factor from 2^66 to 2^67
2021-01-03	Joss	NF	no factor from 2^65 to 2^66
2021-01-02	Joss	NF	no factor from 2^64 to 2^65
2020-09-07	Joss	NF-PM1	B1=498672, B2=6233566, E=6
2017-12-12	Chang Chia-Tche	C-PRP	M3116783/6233567 : B1C72A9690C84C97 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-30	Oliver Kruse	C-PRP	M3116783/6233567 : B1C72A9690C84C97 PRP: Verified (Factored) PRP without proof (not generated)