3 981 391 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
208020971770205279327	21	67.5	2022-01-25 16:37:45
1908766714680386727713	22	70.7	2011-09-15 21:36:40

ECM

Digits	B1	Curves
25	50000	131 / 280

Estimated T-Level: 22.3 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Tom Carney	451A1219BBC8CAD5	0
Verified (Factored)	1999-09-14	Alan Frederick	451A1219BBC8CAD5	1906417

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	3B87140093DB4867	1	0	1	3
Verified (Factored)	2018-01-08	Luigi Morelli	3B87140093DB4867	1	3157186	1	3
Verified	2022-01-30	riccardo uberti	409A4124583FB1C7	2	1857469	5	3

History

Date	User	Type	Result
2022-06-20	LordJulius	NF	no factor from 2^66 to 2^67
2022-06-20	LordJulius	NF	no factor from 2^65 to 2^66
2022-06-20	LordJulius	NF	no factor from 2^64 to 2^65
2022-06-20	LordJulius	NF	no factor from 2^63 to 2^64
2022-06-20	LordJulius	NF	no factor from 2^62 to 2^63
2022-03-17	Joss	NF-PM1	B1=1000000, B2=129198300
2022-02-15	riccardo uberti	NF-PP1	Start=6/5, B1=5000000, B2=100000000
2022-02-02	riccardo uberti	NF-PP1	Start=2/7, B1=5000000, B2=100000000
2022-01-31	riccardo uberti	NF-PM1	B1=5000000, B2=100000000
2022-01-30	Puang	CERT	PRP Certification Proof certified good
2022-01-30	riccardo uberti	C-PRP	M3981391/1908766714680386727713/208020971770205279327 : 409A4124583FB1C7 PRP proof power = 7 PRP: Verified Proof certified good
2022-01-25	Joss	F	Factor: 208020971770205279327 / TF: 67-68
2020-09-02	Joss	NF-PM1	B1=636000, B2=7962782, E=6
2018-01-08	Luigi Morelli	C-PRP	M3981391/1908766714680386727713 : 3B87140093DB4867 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3981391/1908766714680386727713 : 3B87140093DB4867 PRP: Verified (Factored) PRP without proof (not generated)
2011-09-15	Squeeky_Squirrel	F-PM1	Factor: 1908766714680386727713
2011-03-25	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-27	Carsten Kossendey	NF-PM1	B1=20000, B2=290000