1 317 629 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
757354281100574057	18	59.4	old
546254156499498404359	21	68.9	2017-11-07 14:37:34
15826098218231944108831	23	73.7	2018-06-08 13:19:51
7166444849362436678236751	25	82.6	2021-07-30 10:24:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	105 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Joel Armengaud	FECED06FBBFACAC6	0
Verified (Factored)		Cornelius Caesar	FECED06FBBFACAC6	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	Oliver Kruse	936CEB19EEDC1CB2	1	0	1	3
Verified (Factored)	2017-10-23	kkmrkkblmbrbk	936CEB19EEDC1CB2	1	247858	1	3
Verified (Factored)	2017-11-08	Oliver Kruse	B539E49CFFE71136	2	1045862	5	3
Verified (Factored)	2017-11-08	Wentao Huang	9957ADDCFF88D99D	1	0	1	3
Verified (Factored)	2017-11-08	kkmrkkblmbrbk	B539E49CFFE71136	2	279914	5	3
Verified (Factored)	2017-11-08	Yaroslav Berezhko	B539E49CFFE71136	2	723732	5	3
Verified (Factored)	2018-06-10	Daniil Tsarkov	B539E49CFFE71136	3	1283015	5	3
Verified (Factored)	2018-06-15	Gabriel Lignelli	B539E49CFFE71136	3	597595	5	3
Verified	2021-07-30	SRJ2877	B539E49CFFE71136	4	1293803	5	3

History

Date	User	Type	Result
2021-07-30	curtisc	CERT	PRP Certification Proof certified good
2021-07-30	SRJ2877	C-PRP	M1317629/757354281100574057/546254156499498404359/15826098218231944108831/7166444849362436678236751 : B539E49CFFE71136 PRP proof power = 6 PRP: Verified Proof certified good
2021-07-30	TJAOI	F-ECM	Factor: 7166444849362436678236751 / (ECM curve 32, B1=250000, B2=35000000)
2018-06-15	Gabriel Lignelli	C-PRP	M1317629/757354281100574057/546254156499498404359/15826098218231944108831 : B539E49CFFE71136 PRP: Verified (Factored) PRP without proof (not generated)
2018-06-10	Daniil Tsarkov	C-PRP	M1317629/757354281100574057/546254156499498404359/15826098218231944108831 : B539E49CFFE71136 PRP: Verified (Factored) PRP without proof (not generated)
2018-06-08	TJAOI	F-ECM	Factor: 15826098218231944108831 / (ECM curve 29, B1=50000, B2=5000000)
2017-11-08	Yaroslav Berezhko	C-PRP	M1317629/757354281100574057/546254156499498404359 : B539E49CFFE71136 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-08	kkmrkkblmbrbk	C-PRP	M1317629/757354281100574057/546254156499498404359 : B539E49CFFE71136 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-08	Wentao Huang	C-PRP	M1317629/known_factors : 9957ADDCFF88D99D PRP: Verified (Factored) PRP without proof (not generated)
2017-11-08	Oliver Kruse	C-PRP	M1317629/757354281100574057/546254156499498404359 : B539E49CFFE71136 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-07	Chang Chia-Tche	F-ECM	Factor: 546254156499498404359 / (ECM curve 2, B1=50000, B2=5000000)
2017-10-23	kkmrkkblmbrbk	C-PRP	M1317629/757354281100574057 : 936CEB19EEDC1CB2 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	Oliver Kruse	C-PRP	M1317629/757354281100574057 : 936CEB19EEDC1CB2 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12