3 737 131 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
161456346886729	15	47.2	old
9734540416718881	16	53.1	2014-09-04 09:36:31
1073241228883391718769	22	69.9	2018-11-15 06:27:50
79756687312821920818433	23	76.1	2020-11-15 14:40:40

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-11	Oliver Kruse	13072FE1AEFD9996	2	2442582	5	3
Verified (Factored)	2017-12-19	kkmrkkblmbrbk	13072FE1AEFD9996	2	3606700	5	3
Verified (Factored)	2018-11-17	Oliver Kruse	13072FE1AEFD9996	3	1304789	5	3
Verified	2020-11-18	arnaud	13072FE1AEFD9996	4	447347	5	3

P-1 factors

Date	Factor	B1	B2
2020-11-15	79756687312821920818433	373713	3737131

History

Date	User	Type	Result
2022-08-05	Joss	NF-PM1	B1=3737131, B2=3766198800
2022-03-21	Joss	NF-PM1	B1=1000000, B2=1010447130
2022-01-18	Joss	NF	no factor from 2^67 to 2^68
2022-01-18	Joss	NF-PM1	B1=1000000, B2=431367300
2020-11-18	jerickson	CERT	PRP Certification Proof certified good
2020-11-18	arnaud	C-PRP	M3737131/161456346886729/9734540416718881/1073241228883391718769/79756687312821920818433 : 13072FE1AEFD9996 PRP proof power = 7 PRP: Verified Proof certified good
2020-11-15	Joss	F-PM1	Factor: 79756687312821920818433 / (P-1, B1=373713, B2=3737131, E=6)
2018-11-17	Oliver Kruse	C-PRP	M3737131/161456346886729/9734540416718881/1073241228883391718769 : 13072FE1AEFD9996 PRP: Verified (Factored) PRP without proof (not generated)
2018-11-15	MarkS	F-ECM	Factor: 1073241228883391718769 / (ECM curve 1, B1=50000, B2=5000000)
2017-12-19	kkmrkkblmbrbk	C-PRP	M3737131/161456346886729/9734540416718881 : 13072FE1AEFD9996 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-11	Oliver Kruse	C-PRP	M3737131/161456346886729/9734540416718881 : 13072FE1AEFD9996 PRP: Verified (Factored) PRP without proof (not generated)
2014-09-04	TJAOI	F	Factor: 9734540416718881