72 977 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
19265929	8	24.2	old
955122977	9	29.8	2008-08-26 20:09:22
3170042648657	13	41.5	2008-08-26 20:09:22
548711313071030182176874106881	30	98.8	2017-01-25 02:57:47
3060143196756072283354825720338808031833	40	131.2	2017-01-25 02:57:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1261 / 1566

Estimated T-Level: 34.0 ⓘ

TF below 2^108 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	B1AE07CAAB5E4114	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B1AE07CAAB5E4114	5	0	1	3
Verified	2017-12-07	ATH	B1AE07CAAB5E4114	5	7191	1	3
Verified	2020-04-17	Oliver Kruse	719356CA3F03F76F	5	16321	5	3
Verified	2024-02-03	Wentao Huang	719356CA3F03F76F	5	19954	5	3

P-1 factors

Date	Factor	B1	B2
2017-01-25	548711313071030182176874106881	100000000	12720901946406
2017-01-25	3060143196756072283354825720338808031833	100000000	12720901946406

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M72977/19265929/955122977/3170042648657/548711313071030182176874106881/3060143196756072283354825720338808031833 : 719356CA3F03F76F PRP: Verified PRP without proof (small exponent)
2024-02-01	masser	NF-PP1	Start=175/61, B1=25000000, B2=1775000000
2024-01-30	masser	NF-PP1	Start=6/5, B1=25000000, B2=1775000000
2024-01-30	masser	NF-PP1	Start=2/7, B1=25000000, B2=1775000000
2022-05-22	George Woltman	NF-PM1	B1=1000000000, B2=95443272064140
2022-05-13	George Woltman	NF-PM1	B1=1000000000
2020-04-17	Oliver Kruse	C-PRP	M72977/19265929/955122977/3170042648657/548711313071030182176874106881/3060143196756072283354825720338808031833 : 719356CA3F03F76F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M72977/19265929/955122977/3170042648657/548711313071030182176874106881/3060143196756072283354825720338808031833 : B1AE07CAAB5E4114 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M72977/19265929/955122977/3170042648657/548711313071030182176874106881/3060143196756072283354825720338808031833 : B1AE07CAAB5E4114 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M72977/19265929/955122977/3170042648657/548711313071030182176874106881/3060143196756072283354825720338808031833 : B1AE07CAAB5E4114 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M72977/19265929/955122977/3170042648657/548711313071030182176874106881/3060143196756072283354825720338808031833 : B1AE07CAAB5E4114 PRP without proof (not generated)
2017-01-27	NoPolarBearsHere	F-ECM	Factor: 58333005523921336532172149881 / (ECM curve 1, B1=1000000, B2=15000000000000)
2017-01-25	kkmrkkblmbrbk	F-PM1	Factor: 1679135191677404292075440184639325543027841024599493930960571292342873 / (P-1, B1=100000000, B2=12720901946406)
2016-11-26	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 3170042648657
2008-08-26	-Anonymous-	F	Factor: 955122977