12 983 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
450425309825654577227106498991355249	36	118.4	2009-03-05 15:09:13

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	Shift
Verified (Factored)		Unknown	0FF0	0
Verified (Factored)		George Woltman	8AF154ABB64B0FF0	0
Verified (Factored)		Brian J. Beesley	8AF154ABB64B0FF0	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	F306AB81DAF187BC	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	F306AB81DAF187BC	1	10301	1	3
Unverified	2020-04-17	Oliver Kruse	53E4C22DF22031__	1	9202	5	3

P-1 factors

Date	Factor	B1	B2
2023-10-10	450425309825654577227106498991355249	100000000000	122154521813133808

History

Date	User	Type	Result
2023-10-10	-Anonymous-	F-PM1	Factor: 450425309825654577227106498991355249 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2020-04-17	Oliver Kruse	C-PRP	M12983/450425309825654577227106498991355249 : 53E4C22DF22031__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12983/450425309825654577227106498991355249 : F306AB81DAF187BC PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12983/450425309825654577227106498991355249 : F306AB81DAF187BC PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12983/450425309825654577227106498991355249 : F306AB81DAF187BC PRP without proof (not generated)
2009-03-05	-Anonymous-	F-ECM	Factor: 450425309825654577227106498991355249