3 045 281 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
1403398776115951553	19	60.3	2016-01-26 12:44:44
126058447753307483647	21	66.8	2018-06-26 06:33:25
1610953830367337634289	22	70.4	old
11778712418601721055513	23	73.3	2008-07-15 22:29:09

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	Shift
Verified (Factored)		Robert J.McWhinnie	F307115CC236F6C8	0
Verified (Factored)	1999-09-07	Alastair Knox	F307115CC236F6C8	564407

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	A3ADB5469E79EAC3	3	0	1	3
Verified (Factored)	2017-11-17	Oliver Kruse	A3ADB5469E79EAC3	3	2680731	1	3
Verified	2018-06-26	Xyzzy	348A25EFE0BDC8C6	4	838319	5	3
Verified	2018-06-30	Luigi Morelli	348A25EFE0BDC8C6	4	179503	5	3

History

Date	User	Type	Result
2022-07-18	Joss	NF-PM1	B1=3045281, B2=3045716520
2022-03-21	Joss	NF-PM1	B1=3045281, B2=1048107060
2022-03-12	LordJulius	NF	no factor from 2^64 to 2^65
2022-03-12	LordJulius	NF	no factor from 2^63 to 2^64
2022-03-12	LordJulius	NF	no factor from 2^61 to 2^63
2021-12-18	Joss	NF-PM1	B1=3045281, B2=435762600
2021-10-27	Joss	NF-PM1	B1=3045281
2021-08-24	Joss	NF	no factor from 2^68 to 2^69
2021-01-30	Joss	NF	no factor from 2^67 to 2^68
2021-01-16	Joss	NF	no factor from 2^65 to 2^66
2020-07-08	Joss	NF-PM1	B1=1421140, B2=15226405, E=12
2018-06-30	Luigi Morelli	C-PRP	M3045281/1610953830367337634289/11778712418601721055513/1403398776115951553/126058447753307483647 : 348A25EFE0BDC8C6 PRP: Verified PRP without proof (not generated)
2018-06-26	Xyzzy	C-PRP	M3045281/1610953830367337634289/11778712418601721055513/1403398776115951553/126058447753307483647 : 348A25EFE0BDC8C6 PRP: Verified PRP without proof (not generated)
2018-06-26	alpertron	F-ECM	Factor: 126058447753307483647 / (ECM curve 3, B1=50000, B2=5000000)
2017-11-17	Oliver Kruse	C-PRP	M3045281/1610953830367337634289/11778712418601721055513/1403398776115951553 : A3ADB5469E79EAC3 PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M3045281/11778712418601721055513/1403398776115951553/1610953830367337634289 : A3ADB5469E79EAC3 PRP: Verified PRP without proof (not generated)
2016-01-26	TJAOI	F	Factor: 1403398776115951553 / TF: 60-61
2008-07-15	George Woltman	F-ECM	Factor: 18974961887541770133789931654626025461285257