12 113 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
30694343	8	24.9	old
1808125955964196790810977433	28	90.5	2008-10-16 23:57:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1251 / 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	F7CE06C5B78409B1	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	F7CE06C5B78409B1	2	7018	1	3
Verified	2020-04-17	Oliver Kruse	899B3D7A3CD15A74	2	5610	5	3
Verified	2023-05-19	-Anonymous-	899B3D7A3CD15A74	2	8108	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-06	1808125955964196790810977433	100000000000	120942232635634416

History

Date	User	Type	Result
2023-05-19	-Anonymous-	C-PRP	M12113/30694343/1808125955964196790810977433 : 899B3D7A3CD15A74 PRP: Verified PRP without proof (small exponent)
2023-04-06	-Anonymous-	F-PM1	Factor: 1808125955964196790810977433 / (P-1, B1=100000000000, B2=120942232635634410)
2020-04-17	Oliver Kruse	C-PRP	M12113/30694343/1808125955964196790810977433 : 899B3D7A3CD15A74 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12113/30694343/1808125955964196790810977433 : F7CE06C5B78409B1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12113/30694343/1808125955964196790810977433 : F7CE06C5B78409B1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12113/30694343/1808125955964196790810977433 : F7CE06C5B78409B1 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-Anonymous-	F-ECM	Factor: 1808125955964196790810977433