3 391 321 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
925848886792065143	18	59.7	old
11726697074873703031	20	63.3	2017-01-31 12:20:21
74445292213590044177	20	66.0	2018-10-22 16:39:13
23992342354082303190000929	26	84.3	2022-01-06 19:15:59

ECM

Digits	B1	Curves
25	50000	4 / 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)	2017-11-05	kkmrkkblmbrbk	842C01C36E05EE5D	2	1692623	5	3
Verified (Factored)	2017-11-21	Oliver Kruse	842C01C36E05EE5D	2	601899	5	3
Verified (Factored)	2018-10-22	rucio	842C01C36E05EE5D	3	3144271	5	3
Verified	2022-01-12	LordJulius	842C01C36E05EE5D	4	1899165	5	3
Verified	2022-01-14	GAN	842C01C36E05EE5D	4	1547150	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-06	23992342354082303190000929	1150000	111642300

History

Date	User	Type	Result
2022-07-18	Joss	NF-PM1	B1=3391321, B2=3393614070
2022-07-15	Joss	NF-PM1	B1=3391321, B2=124103070
2022-04-24	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-24	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-24	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-21	Joss	NF-PM1	B1=1150000, B2=1001796180
2022-01-14	Joe S.	CERT	PRP Certification Proof certified good
2022-01-14	GAN	C-PRP	M3391321/925848886792065143/11726697074873703031/74445292213590044177/23992342354082303190000929 : 842C01C36E05EE5D PRP proof power = 7 PRP: Verified Proof certified good
2022-01-12	Ben Delo	CERT	PRP Certification Proof certified good
2022-01-12	LordJulius	C-PRP	M3391321/925848886792065143/11726697074873703031/74445292213590044177/23992342354082303190000929 : 842C01C36E05EE5D PRP proof power = 7 PRP: Verified Proof certified good
2022-01-11	Joss	NF	no factor from 2^68 to 2^69
2022-01-06	Joss	F-PM1	Factor: 23992342354082303190000929 / (P-1, B1=1150000, B2=111642300)
2021-09-08	Joss	NF	no factor from 2^67 to 2^68
2020-10-03	Joss	NF-PM1	B1=339132, B2=3391321, E=6
2018-10-22	rucio	C-PRP	M3391321/925848886792065143/11726697074873703031/74445292213590044177 : 842C01C36E05EE5D PRP: Verified (Factored) PRP without proof (not generated)
2018-10-22	MarkS	F-ECM	Factor: 74445292213590044177 / (ECM curve 1, B1=50000, B2=5000000)
2017-11-21	Oliver Kruse	C-PRP	M3391321/925848886792065143/11726697074873703031 : 842C01C36E05EE5D PRP: Verified (Factored) PRP without proof (not generated)
2017-11-05	kkmrkkblmbrbk	C-PRP	M3391321/925848886792065143/11726697074873703031 : 842C01C36E05EE5D PRP: Verified (Factored) PRP without proof (not generated)
2017-01-31	TJAOI	F	Factor: 11726697074873703031 / TF: 63-64