280 603 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2806031	7	21.4	old
3459834991	10	31.7	2008-07-21 09:15:48
476519365368800085438063611023559599	36	118.5	2023-03-19 21:10:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	315 / 1566

Estimated T-Level: 31.0 ⓘ

TF below 2^98 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	DDEDCCE74A0D8C5F	2	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	DDEDCCE74A0D8C5F	2	157160	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3F2B832FEEBDB68A	2	122657	5	3
Verified	2023-03-19	Naegi Makoto	3F2B832FEEBDB68A	3	82027	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-19	476519365368800085438063611023559599	2000000	61940778900

History

Date	User	Type	Result
2023-03-26	Naegi Makoto	NF-PM1	B1=30000000, B2=35678204321760
2023-03-20	Will K	CERT	PRP Certification Proof certified good
2023-03-19	Naegi Makoto	C-PRP	M280603/2806031/3459834991/476519365368800085438063611023559599 : 3F2B832FEEBDB68A PRP proof power = 5 PRP: Verified Proof certified good
2023-03-19	Naegi Makoto	F-PM1	Factor: 476519365368800085438063611023559599 / (P-1, B1=2000000, B2=61940778900)
2022-01-03	Lisander Viaene	NF-PM1	B1=100000
2020-04-17	Oliver Kruse	C-PRP	M280603/2806031/3459834991 : 3F2B832FEEBDB68A PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M280603/2806031/3459834991 : DDEDCCE74A0D8C5F PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M280603/2806031/3459834991 : DDEDCCE74A0D8C5F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M280603/2806031/3459834991 : DDEDCCE74A0D8C5F PRP without proof (not generated)
2008-07-21	J Feitsma	F	Factor: 3459834991