74 297 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
46093402217811334422500629825749239	35	115.2	2021-02-18 15:49:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1566 / 4588

Estimated T-Level: 36.7 ⓘ

TF below 2^117 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	566E	0
Verified (Factored)		Robert Clark	35B9EAD8FF96D66E	0
Verified (Factored)		Brian J. Beesley	35B9EAD8FF96D66E	0
Verified (Factored)	2015-04-11	MadPoo	35B9EAD8FF96D66E	19475

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-02-18	mnd9	0B407EFD75A6B1C4	1	33897	5	3
Verified	2021-02-19	M8909387	0B407EFD75A6B1C4	1	42062	5	3

History

Date	User	Type	Result
2024-02-03	masser	NF-PP1	Start=140/29, B1=25000000, B2=1775000000
2024-02-01	masser	NF-PP1	Start=6/5, B1=25000000, B2=1775000000
2024-02-01	masser	NF-PP1	Start=2/7, B1=25000000, B2=1775000000
2022-04-16	George Woltman	NF-PM1	B1=1000000000, B2=91581293523720
2021-02-19	M8909387	C-PRP	M74297/46093402217811334422500629825749239 : 0B407EFD75A6B1C4 PRP: Verified PRP without proof (small exponent)
2021-02-18	mnd9	C-PRP	M74297/46093402217811334422500629825749239 : 0B407EFD75A6B1C4 PRP: Verified PRP without proof (small exponent)
2021-02-18	mnd9	F-ECM	Factor: 46093402217811334422500629825749239 / (ECM curve 6, B1=3000000, B2=300000000, Sigma=861422999935301)
2018-10-18	Yxinity	NF	no factor from 2^64 to 2^65
2018-10-17	Yxinity	NF	no factor from 2^64 to 2^65
2017-04-01	snme2pm1	NF	no factor from 2^63 to 2^64
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2016-02-23	LaurV	NF	no factor from 2^58 to 2^59
2016-01-03	Sid & Andy	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	35B9EAD8FF96D66E
2015-03-05	Sid & Andy	NF	no factor from 2^61 to 2^62
2013-11-29	LaurV	NF	no factor from 2^60 to 2^61
2012-08-23	LaurV	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-02-07	Sturle Sunde	NF	no factor from 2^59 to 2^60