2 039 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
4079	4	12.0	old
572478534119	12	39.1	old
436124501293138851559	21	68.6	old
8451632300663404578500000977	28	92.8	old
12954516122399605526819483551512597185093084013444367	53	173.1	2009-01-25 15:06:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	64184 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	3D714AA8BEBD49CC	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	3D714AA8BEBD49CC	5	0	1	3
Verified	2017-12-07	ATH	3D714AA8BEBD49CC	5	1011	1	3
Verified	2020-04-17	Oliver Kruse	9F8DA0825853CD8F	5	961	5	3
Verified	2020-08-12	_p95holder_	9F8DA0825853CD8F	5	1571	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	9F8DA0825853CD8F	1	1789	5	3

History

Date	User	Type	Result
2024-04-14	masser	NF-PM1	B1=100000000000, B2=283619659924350750
2022-05-12	Jorge Coveiro	C-PRP	M2039/4079 : 9F8DA0825853CD8F PRP: Verified (Factored) PRP without proof (small exponent)
2020-08-12	_p95holder_	C-PRP	M2039/4079/572478534119/436124501293138851559/8451632300663404578500000977/12954516122399605526819483551512597185093084013444367 : 9F8DA0825853CD8F PRP: Verified (Factored) PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M2039/4079/572478534119/436124501293138851559/8451632300663404578500000977/12954516122399605526819483551512597185093084013444367 : 9F8DA0825853CD8F PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2039/4079/572478534119/436124501293138851559/8451632300663404578500000977/12954516122399605526819483551512597185093084013444367 : 3D714AA8BEBD49CC PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2039/4079/572478534119/436124501293138851559/8451632300663404578500000977/12954516122399605526819483551512597185093084013444367 : 3D714AA8BEBD49CC PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2039/known_factors : 3D714AA8BEBD49CC PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-01-25	-Anonymous-	F-ECM	Factor: 12954516122399605526819483551512597185093084013444367