12 203 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
24407	5	14.6	old
73077849438942406767660164596241	32	105.8	2017-03-17 20:44:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	B4D6D4246FE6C448	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B4D6D4246FE6C448	2	3713	1	3
Verified	2020-04-17	Oliver Kruse	6D38D14B5D41DE3A	2	11710	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	6D38D14B5D41DE3A	1	10175	5	3
Verified	2024-07-01	kkmrkkblmbrbk	6D38D14B5D41DE3A	2	1760	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-06	73077849438942406767660164596241	100000000000	121982729876067056

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M12203/24407/73077849438942406767660164596241 : 6D38D14B5D41DE3A PRP: Verified PRP without proof (small exponent)
2023-04-06	-Anonymous-	F-PM1	Factor: 73077849438942406767660164596241 / (P-1, B1=100000000000, B2=121982729876067060)
2022-05-12	Jorge Coveiro	C-PRP	M12203/24407 : 6D38D14B5D41DE3A PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M12203/24407/73077849438942406767660164596241 : 6D38D14B5D41DE3A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12203/24407/73077849438942406767660164596241 : B4D6D4246FE6C448 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12203/24407/73077849438942406767660164596241 : B4D6D4246FE6C448 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12203/24407/73077849438942406767660164596241 : B4D6D4246FE6C448 PRP without proof (not generated)
2017-03-17	kkmrkkblmbrbk	F-ECM	Factor: 73077849438942406767660164596241 / (ECM curve 312, B1=1000000, B2=100000000)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12