203 449 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
44406090236236269113	20	65.3	2009-02-16 04:47:36
529702783086232600491217	24	78.8	2014-12-12 13:36:31
9674053165798913721048752313761	31	102.9	2022-02-06 14:01:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	595 / 640

Estimated T-Level: 29.6 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Burton A. Leland	5B1F4D67D5E2B857	0
Verified (Factored)		Philippe Chessa	5B1F4D67D5E2B857	0
Verified (Factored)		Eivind Triel	5B1F4D67D5E2B857	142208
Verified (Factored)	2002-12-16	Brian J. Beesley	5B1F4D67D5E2B857	129260

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	8B22297C3FE71C98	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	8B22297C3FE71C98	2	1507	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	B742B6C1890C7604	2	167346	5	3
Verified	2022-02-06	Oliver Kruse	B742B6C1890C7604	3	72865	5	3
Verified	2023-08-03	USAFSS	B742B6C1890C7604	3	184867	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-06	9674053165798913721048752313761	30000000	10264076402580

History

Date	User	Type	Result
2023-08-03	slandrum	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M203449/44406090236236269113/529702783086232600491217/9674053165798913721048752313761 : B742B6C1890C7604 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
2022-02-06	twmoss	CERT	PRP Certification Proof certified good
2022-02-06	Oliver Kruse	C-PRP	M203449/44406090236236269113/529702783086232600491217/9674053165798913721048752313761 : B742B6C1890C7604 PRP proof power = 5 PRP: Verified Proof certified good
2022-02-06	Oliver Kruse	F-PM1	Factor: 9674053165798913721048752313761 / (P-1, B1=30000000, B2=10264076402580)
2021-05-04	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M203449/44406090236236269113/529702783086232600491217 : B742B6C1890C7604 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M203449/44406090236236269113/529702783086232600491217 : 8B22297C3FE71C98 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M203449/known_factors : 8B22297C3FE71C98 PRP without proof (not generated)
2014-12-12	TJAOI	F-ECM	Factor: 529702783086232600491217
2009-02-16	axn	F-ECM	Factor: 44406090236236269113
2009-01-28	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59