204 511 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
20695880204151247589499703	26	84.1	2009-05-07 02:24:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	225 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Cornelius Caesar	DA013E86F93F042A	0
Verified (Factored)		Chris Haley	DA013E86F93F042A	0
Verified (Factored)		Eivind Triel	DA013E86F93F042A	198578
Verified (Factored)	2002-12-16	Brian J. Beesley	DA013E86F93F042A	136474

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	9CA35DC819BC9409	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	9CA35DC819BC9409	1	154630	1	3
Verified	2020-04-17	Oliver Kruse	9906289422459C41	1	1688	5	3
Verified	2023-08-03	USAFSS	9906289422459C41	1	78005	5	3

History

Date	User	Type	Result
2023-08-03	slandrum	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M204511/20695880204151247589499703 : 9906289422459C41 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
2022-02-07	Oliver Kruse	NF-PM1	B1=30000000, B2=10264076402580
2021-05-07	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M204511/20695880204151247589499703 : 9906289422459C41 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M204511/20695880204151247589499703 : 9CA35DC819BC9409 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M204511/20695880204151247589499703 : 9CA35DC819BC9409 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M204511/20695880204151247589499703 : 9CA35DC819BC9409 PRP without proof (not generated)
2009-05-07	Sturle Sunde	F-ECM	Factor: 20695880204151247589499703
2009-02-18	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-30	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