180 289 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
3467441041883515863943031	25	81.5	2009-01-27 05:12:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	636 / 640

Estimated T-Level: 30.0 ⓘ

TF below 2^95 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	090DA08D	0
Verified (Factored)		Vincent J. Mooney	9CB0A7B0890DA08D	0
Verified (Factored)		Brian J. Beesley	9CB0A7B0890DA08D	0
Verified (Factored)		Eivind Triel	9CB0A7B0890DA08D	121953

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	663FC1B89849B650	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	663FC1B89849B650	1	40699	1	3
Verified	2020-04-17	Oliver Kruse	E1506ADEC70C4074	1	100250	5	3
Verified	2023-08-24	USAFSS	E1506ADEC70C4074	1	65620	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M180289/3467441041883515863943031 : E1506ADEC70C4074 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M180289/3467441041883515863943031 : E1506ADEC70C4074 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M180289/3467441041883515863943031 : 663FC1B89849B650 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M180289/3467441041883515863943031 : 663FC1B89849B650 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M180289/3467441041883515863943031 : 663FC1B89849B650 PRP without proof (not generated)
2017-01-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-27	axn	F-ECM	Factor: 3467441041883515863943031
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59