322 001 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
129172476019513	15	46.9	old
302776620021143	15	48.1	2008-09-30 13:18:06
34630049913674179297	20	64.9	2014-09-26 12:18:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	548 / 640

Estimated T-Level: 29.3 ⓘ

TF below 2^92 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	CF6370AA3CA23E7C	3	0	1	3
Verified	2017-10-13	Oliver Kruse	CF6370AA3CA23E7C	3	188017	1	3
Verified	2017-12-12	ATH	CF6370AA3CA23E7C	3	103107	1	3
Verified	2020-04-18	Oliver Kruse	57436C1E786BFDF8	3	192182	5	3
Verified	2024-09-02	kkmrkkblmbrbk	57436C1E786BFDF8	3	80241	5	3

History

Date	User	Type	Result
2024-10-10	yuriy5-1	NF-PM1	B1=12000002, B2=2107215910800
2024-09-02	randomDewott	CERT	PRP Certification Proof certified good
2024-09-02	kkmrkkblmbrbk	C-PRP	M322001/129172476019513/302776620021143/34630049913674179297 : 57436C1E786BFDF8 PRP proof power = 5 PRP: Verified Proof certified good
2023-03-19	Denial140	NF-PM1	B1=1000000, B2=20563492950
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-18	Oliver Kruse	C-PRP	M322001/129172476019513/302776620021143/34630049913674179297 : 57436C1E786BFDF8 PRP: Verified PRP without proof (small exponent)
2017-12-12	ATH	C-PRP	M322001/129172476019513/302776620021143/34630049913674179297 : CF6370AA3CA23E7C PRP: Verified PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M322001/129172476019513/302776620021143/34630049913674179297 : CF6370AA3CA23E7C PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M322001/known_factors : CF6370AA3CA23E7C PRP without proof (not generated)
2014-09-26	TJAOI	F-ECM	Factor: 34630049913674179297
2008-09-30	markr	F	Factor: 302776620021143