312 979 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
53432129706908873297826716475413209471	38	125.3	2022-10-28 02:43:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	250 / 1566

Estimated T-Level: 30.8 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	467	0
Verified (Factored)		Unknown	0467	0
Verified (Factored)		Klaus Kastens	C96709444AA70467	0
Verified (Factored)		Eivind Triel	C96709444AA70467	311147
Verified (Factored)	2001-12-22	Dennis Pope	C96709444AA70467	266394

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-10-28	Tucker Kao	1F94E6AA154271CE	1	206884	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-28	53432129706908873297826716475413209471	1000000000	34113689159550

History

Date	User	Type	Result
2022-10-28	curtisc	CERT	PRP Certification Proof certified good
2022-10-28	Tucker Kao	C-PRP	M312979/53432129706908873297826716475413209471 : 1F94E6AA154271CE PRP proof power = 5 PRP: Verified Proof certified good
2022-10-28	Oliver Kruse	F-PM1	Factor: 53432129706908873297826716475413209471 / (P-1, B1=1000000000, B2=34113689159550)
2022-06-12	Gordon Spence	NF	no factor from 2^67 to 2^68
2022-05-25	LordJulius	NF	no factor from 2^66 to 2^67
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-11-27	Gordon Spence	NF	no factor from 2^65 to 2^66
2018-01-22	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-06-12	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-28	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-28	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-20	NR	NF	no factor from 2^61 to 2^62
2012-04-25	David Campeau	NF	no factor from 2^60 to 2^61
2012-01-26	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2009-01-23	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
2008-11-22	GrunwalderGIMP	NF-PM1	B1=2000000, B2=200000000, E=12