205 423 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
340420619942357163941311	24	78.2	2009-02-17 10:22:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	619 / 640

Estimated T-Level: 29.8 ⓘ

TF below 2^94 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Chris Haley	4834B88DF1C32CC0	0
Verified (Factored)		Sam Laur	4834B88DF1C32CC0	0
Verified (Factored)		Eivind Triel	4834B88DF1C32CC0	132468
Verified (Factored)	2002-12-16	Brian J. Beesley	4834B88DF1C32CC0	133571

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	B956A187EDC8E72A	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B956A187EDC8E72A	1	12681	1	3
Verified	2020-04-17	Oliver Kruse	66C8141ECF75E3C9	1	121844	5	3
Verified	2023-08-03	USAFSS	66C8141ECF75E3C9	1	52737	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M205423/340420619942357163941311 : 66C8141ECF75E3C9 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-09	Oliver Kruse	NF-PM1	B1=30000000, B2=10264076402580
2021-05-08	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M205423/340420619942357163941311 : 66C8141ECF75E3C9 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M205423/340420619942357163941311 : B956A187EDC8E72A PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M205423/340420619942357163941311 : B956A187EDC8E72A PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M205423/340420619942357163941311 : B956A187EDC8E72A PRP without proof (not generated)
2009-02-17	axn	F-ECM	Factor: 340420619942357163941311
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59