283 139 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
310301389092026713	18	58.1	2008-01-10 16:53:25
89478666393569846684952047	26	86.2	2021-01-15 10:42:20

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	520 / 640

Estimated T-Level: 29.1 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	21439A308DA8C06E	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	21439A308DA8C06E	1	275309	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	0EC89CAA236564F0	1	162135	5	3
Verified	2021-01-15	mnd9	0EC89CAA236564F0	2	244272	5	3
Verified	2021-01-16	seatsea	0EC89CAA236564F0	2	60622	5	3

History

Date	User	Type	Result
2023-02-15	USAFSS	NF-PM1	B1=3500000, B2=18264117300
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-01-16	Franklin Webber	CERT	PRP Certification Proof certified good
2021-01-16	Section 31	CERT	PRP Certification Proof certified good
2021-01-16	seatsea	C-PRP	M283139/310301389092026713/89478666393569846684952047 : 0EC89CAA236564F0 PRP proof power = 5 PRP: Verified Proof certified good
2021-01-15	mnd9	C-PRP	M283139/310301389092026713/89478666393569846684952047 : 0EC89CAA236564F0 PRP proof power = 5 PRP: Verified Proof certified good
2021-01-15	TJAOI	F-ECM	Factor: 89478666393569846684952047 / (ECM curve 12, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M283139/310301389092026713 : 0EC89CAA236564F0 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M283139/310301389092026713 : 21439A308DA8C06E PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M283139/310301389092026713 : 21439A308DA8C06E PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M283139/310301389092026713 : 21439A308DA8C06E PRP without proof (not generated)
2008-01-10	James Heinrich	F-ECM	Factor: 310301389092026713