5 211 229 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
1824415976895261507796344041	28	90.6	2021-08-30 03:05:51
21623513459060090628814036845352337	35	114.1	2021-08-30 03:05:51

ECM

Digits	B1	Curves
25	50000	54 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ken Kriesel	59EED64B2E7CC2EC	0
Verified (Factored)	2001-06-03	Benoit Germain	59EED64B2E7CC2EC	5026156

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-08-30	happy5214	ABB2B3953A69328D	2	256972	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-30	21623513459060090628814036845352337	2500000	202500000

History

Date	User	Type	Result
2021-09-04	happy5214	NF-PP1	Start=2/7, B1=1250000, B2=76250000
2021-09-04	happy5214	NF-PP1	Start=6/5, B1=1250000, B2=75000000
2021-08-30	John Airey	CERT	PRP Certification Proof certified good
2021-08-30	happy5214	C-PRP	M5211229/21623513459060090628814036845352337/1824415976895261507796344041 : ABB2B3953A69328D PRP proof power = 7 PRP: Verified Proof certified good
2021-08-30	happy5214	F-PP1	Start=2/7, B1=1250000, Factor: 1824415976895261507796344041
2021-08-30	happy5214	F-PM1	Factor: 21623513459060090628814036845352337 / (P-1, B1=2500000, B2=202500000)
2021-08-23	SRBase	NF	no factor from 2^70 to 2^71
2021-08-18	SRBase	NF	no factor from 2^69 to 2^70
2020-12-08	TJAOI	NF	no factor from 2^68 to 2^69
2018-06-17	ramgeis	NF	no factor from 2^67 to 2^68
2018-04-16	Squeeky_Squirrel	NF-PM1	B1=310000, B2=9222500, E=12
2016-05-28	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-08-10	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-19	VictordeHollander	NF	no factor from 2^64 to 2^65
2014-12-19	VictordeHollander	NF	no factor from 2^63 to 2^64
2010-06-08	Squeeky_Squirrel	NF-PM1	B1=60000, B2=975000, E=6
2009-08-24	Carsten Kossendey	NF-PM1	B1=25000, B2=337500