289 241 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
17322065009	11	34.0	old
91258971683081	14	46.4	2008-08-26 20:13:08
370579680514960151	18	58.4	2014-10-10 12:40:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	210 / 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	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	619F61FF09A63EC8	3	0	1	3
Verified	2017-10-12	Oliver Kruse	619F61FF09A63EC8	3	204015	1	3
Verified	2017-11-06	kkmrkkblmbrbk	619F61FF09A63EC8	3	229105	1	3
Verified	2020-04-17	Oliver Kruse	F8531A752F2C967E	3	191415	5	3
Verified	2024-08-14	kkmrkkblmbrbk	F8531A752F2C967E	3	143994	5	3

History

Date	User	Type	Result
2024-11-18	yuriy_5-1	NF-PM1	B1=26610172, B2=6490139666010
2024-08-14	LOBES	CERT	PRP Certification Proof certified good
2024-08-14	kkmrkkblmbrbk	C-PRP	M289241/17322065009/91258971683081/370579680514960151 : F8531A752F2C967E PRP proof power = 5 PRP: Verified Proof certified good
2023-03-19	Naegi Makoto	NF-PM1	B1=2000000, B2=69052933950
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M289241/17322065009/91258971683081/370579680514960151 : F8531A752F2C967E PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M289241/17322065009/91258971683081/370579680514960151 : 619F61FF09A63EC8 PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M289241/17322065009/91258971683081/370579680514960151 : 619F61FF09A63EC8 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M289241/known_factors : 619F61FF09A63EC8 PRP without proof (not generated)
2014-10-10	TJAOI	F-ECM	Factor: 370579680514960151 / (ECM curve 12, B1=50000, B2=5000000)
2008-08-26	-Anonymous-	F	Factor: 91258971683081