3 838 801 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
391557703	9	28.5	old
506280354338623	15	48.8	2008-09-07 21:12:30
25192695060098791	17	54.5	2014-11-25 12:34:23
1357731861894910873447	22	70.2	2022-04-22 23:32:54

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)	2017-11-11	kkmrkkblmbrbk	0A1536408955F633	3	950478	5	3
Verified (Factored)	2017-12-18	Oliver Kruse	0A1536408955F633	3	600169	5	3
Verified	2022-04-23	aperson1	0A1536408955F633	4	731908	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-22	1357731861894910873447	1000000	130364850

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=3838801, B2=538784400
2022-08-21	Joss	NF-PM1	B1=3838801, B2=418454400
2022-08-10	LordJulius	NF	no factor from 2^67 to 2^68
2022-08-10	LordJulius	NF	no factor from 2^66 to 2^67
2022-08-10	LordJulius	NF	no factor from 2^65 to 2^66
2022-08-10	LordJulius	NF	no factor from 2^64 to 2^65
2022-08-10	LordJulius	NF	no factor from 2^63 to 2^64
2022-08-10	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-23	TSRPrime	CERT	PRP Certification Proof certified good
2022-04-23	aperson1	C-PRP	M3838801/391557703/506280354338623/25192695060098791/1357731861894910873447 : 0A1536408955F633 PRP proof power = 7 PRP: Verified Proof certified good
2022-04-22	Joss	F-PM1	Factor: 1357731861894910873447 / (P-1, B1=1000000, B2=130364850)
2022-04-18	Joss	NF-PM1	B1=300000
2022-03-05	Joss	NF	no factor from 2^67 to 2^68
2017-12-18	Oliver Kruse	C-PRP	M3838801/391557703/506280354338623/25192695060098791 : 0A1536408955F633 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-11	kkmrkkblmbrbk	C-PRP	M3838801/391557703/506280354338623/25192695060098791 : 0A1536408955F633 PRP: Verified (Factored) PRP without proof (not generated)
2014-11-25	TJAOI	F	Factor: 25192695060098791 / TF: 54-55
2008-09-07	Will Edgington	F	Factor: 506280354338623