3 325 313 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
239422537	9	27.8	old
984292649	9	29.9	2008-09-07 19:48:23
1362793074913	13	40.3	2008-09-30 14:47:19
19322861792921	14	44.1	2008-09-30 14:47:20
342476002102342598671	21	68.2	2021-08-23 01:12:39

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)	2017-11-04	kkmrkkblmbrbk	5E2027995B7853D8	4	13759	5	3
Verified (Factored)	2017-11-20	Oliver Kruse	5E2027995B7853D8	4	2053333	5	3
Verified	2021-08-23	SRJ2877	5E2027995B7853D8	5	2104855	5	3

History

Date	User	Type	Result
2022-07-20	Joss	NF-PM1	B1=4150000, B2=3353981400
2022-01-10	Joss	NF-PM1	B1=4150000, B2=1038194850
2021-12-21	Joss	NF-PM1	B1=4150000, B2=116770500
2021-08-24	Joss	NF	no factor from 2^69 to 2^70
2021-08-24	Joss	NF-PM1	B1=3325313, B2=166265650, E=12
2021-08-23	curtisc	CERT	PRP Certification Proof certified good
2021-08-23	SRJ2877	C-PRP	M3325313/239422537/984292649/1362793074913/19322861792921/342476002102342598671 : 5E2027995B7853D8 PRP proof power = 7 PRP: Verified Proof certified good
2021-08-23	Joss	NF	no factor from 2^68 to 2^69
2021-08-23	Joss	F	Factor: 342476002102342598671 / TF: 68-69
2021-08-01	Joss	NF-PM1	B1=3325313
2021-02-02	Joss	NF	no factor from 2^67 to 2^68
2021-02-01	Joss	NF	no factor from 2^66 to 2^67
2021-01-30	Joss	NF	no factor from 2^65 to 2^66
2020-07-05	Joss	NF-PM1	B1=332531, B2=6650626, E=6
2017-11-20	Oliver Kruse	C-PRP	M3325313/239422537/984292649/1362793074913/19322861792921 : 5E2027995B7853D8 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-04	kkmrkkblmbrbk	C-PRP	M3325313/239422537/984292649/1362793074913/19322861792921 : 5E2027995B7853D8 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 19322861792921
2008-09-30	markr	F	Factor: 1362793074913
2008-09-07	Will Edgington	F	Factor: 984292649