12 967 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
27957912104119	14	44.7	old
1393197378162928756279	22	70.2	2008-08-26 19:58:39
6481085953632531454641657319	28	92.4	2008-08-29 02:24:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1389 / 9201

Estimated T-Level: 40.8 ⓘ

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	2DD8CE67520873D3	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2DD8CE67520873D3	3	0	1	3
Verified	2017-12-07	ATH	2DD8CE67520873D3	3	12829	1	3
Verified	2020-04-17	Oliver Kruse	00465723A068817D	3	6054	5	3
Verified	2024-07-01	kkmrkkblmbrbk	00465723A068817D	3	8985	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M12967/1393197378162928756279/27957912104119/6481085953632531454641657319 : 00465723A068817D PRP: Verified PRP without proof (small exponent)
2023-10-10	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12967/27957912104119/1393197378162928756279/6481085953632531454641657319 : 00465723A068817D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12967/27957912104119/1393197378162928756279/6481085953632531454641657319 : 2DD8CE67520873D3 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12967/27957912104119/1393197378162928756279/6481085953632531454641657319 : 2DD8CE67520873D3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12967/27957912104119/1393197378162928756279/6481085953632531454641657319 : 2DD8CE67520873D3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12967/27957912104119/1393197378162928756279/6481085953632531454641657319 : 2DD8CE67520873D3 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 6481085953632531454641657319
2008-08-26	-Anonymous-	F-ECM	Factor: 1393197378162928756279