5 847 857 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
3176936624089568768569	22	71.4	2019-12-07 14:05:37

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-10-04	Les	D0D7C03E8EC2A9A4	0
Verified (Factored)	2003-04-10	Tosh Meston	D0D7C03E8EC2A9A4	3617320

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-12-08	Niels_Mache_Nextcloud	BD0BD688CFB854C3	1	3180522	5	3
Verified	2019-12-09	marssystems	BD0BD688CFB854C3	1	4479397	5	3

P-1 factors

Date	Factor	B1	B2
2019-12-07	3176936624089568768569	720000	11520000

History

Date	User	Type	Result
2019-12-09	marssystems	C-PRP	M5847857/3176936624089568768569 : BD0BD688CFB854C3 PRP: Verified PRP without proof (not generated)
2019-12-08	Niels_Mache_Nextcloud	C-PRP	M5847857/3176936624089568768569 : BD0BD688CFB854C3 PRP: Verified PRP without proof (not generated)
2019-12-07	storm5510	F-PM1	Factor: 3176936624089568768569 / (P-1, B1=720000, B2=11520000)
2018-07-05	ramgeis	NF	no factor from 2^67 to 2^68
2016-07-15	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-09-14	snme2pm1	NF	no factor from 2^65 to 2^66
2014-10-16	lycorn	NF	no factor from 2^64 to 2^65
2014-10-09	Nesowa	NF	no factor from 2^63 to 2^64
2011-02-28	USAFSS	NF-PM1	B1=65000, B2=1088750, E=6
2009-03-24	GrunwalderGIMP	NF	no factor from 2^62 to 2^63