3 099 029 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
24792233	8	24.6	old
2181716417	10	31.0	2008-09-07 19:44:05
602451237601	12	39.1	2008-09-07 19:44:05
105024759666054123839	21	66.5	2020-04-29 10:21:05
10168711233002307057665889048851071	35	113.0	2022-01-02 23:44:19

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-29	Oliver Kruse	D0A58E62DB54E9B8	3	3090586	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	D0A58E62DB54E9B8	3	2942449	5	3
Verified (Factored)	2020-04-30	atrench	D0A58E62DB54E9B8	4	1787203	5	3
Verified (Factored)	2020-05-01	fre_games	D0A58E62DB54E9B8	4	2392623	5	3
Verified	2022-01-09	Yuya Yamaguchi	D0A58E62DB54E9B8	5	53962	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-02	10168711233002307057665889048851071	3099029	116689650

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3099029, B2=3145226700
2022-03-20	Joss	NF-PM1	B1=3099029, B2=1042479900
2022-01-09	Chad Steenerson	CERT	PRP Certification Proof certified good
2022-01-09	Yuya Yamaguchi	C-PRP	M3099029/24792233/2181716417/602451237601/105024759666054123839/10168711233002307057665889048851071 : D0A58E62DB54E9B8 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-02	Joss	F-PM1	Factor: 10168711233002307057665889048851071 / (P-1, B1=3099029, B2=116689650)
2022-01-02	Joss	NF-PM1	B1=3099029
2021-09-04	Joss	NF	no factor from 2^68 to 2^69
2021-02-05	Joss	NF	no factor from 2^67 to 2^68
2021-02-04	Joss	NF	no factor from 2^65 to 2^66
2021-01-20	Joss	NF-PM1	B1=309902
2020-05-01	fre_games	C-PRP	M3099029/24792233/2181716417/602451237601/105024759666054123839 : D0A58E62DB54E9B8 PRP: Verified (Factored) PRP without proof (not generated)
2020-04-30	atrench	C-PRP	M3099029/24792233/2181716417/602451237601/105024759666054123839 : D0A58E62DB54E9B8 PRP: Verified (Factored) PRP without proof (not generated)
2020-04-29	TJAOI	F	Factor: 105024759666054123839 / TF: 66-67
2017-12-11	kkmrkkblmbrbk	C-PRP	M3099029/24792233/2181716417/602451237601 : D0A58E62DB54E9B8 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-29	Oliver Kruse	C-PRP	M3099029/24792233/2181716417/602451237601 : D0A58E62DB54E9B8 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 602451237601
2008-09-07	Will Edgington	F	Factor: 2181716417