13 267 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
82711943458049277218297229399631	32	106.0	old
2768010176026958221972156342523208826711	40	131.0	2023-06-02 20:20:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1354 / 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 (Factored)	2017-09-21	Oliver Kruse	55D865037FFC6B86	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	55D865037FFC6B86	1	5567	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F4FE4AAD2461B383	1	5452	5	3
Verified	2023-06-02	Denial140	F4FE4AAD2461B383	2	7977	5	3

P-1 factors

Date	Factor	B1	B2
2023-10-10	82711943458049277218297229399631	100000000000	122154521813133808

History

Date	User	Type	Result
2023-10-10	-Anonymous-	F-PM1	Factor: 82711943458049277218297229399631 / (P-1, B1=100000000000, B2=122154521813133810)
2023-06-02	Denial140	C-PRP	M13267/82711943458049277218297229399631/2768010176026958221972156342523208826711 : F4FE4AAD2461B383 PRP: Verified PRP without proof (small exponent)
2023-06-02	Denial140	F-ECM	Factor: 2768010176026958221972156342523208826711 / (ECM curve 159, B1=3000000, B2=22972799850, Sigma=5285225717240609)
2023-05-18	JacobZ	NF-PM1	B1=8300000000, B2=34023579430740900
2020-04-17	Oliver Kruse	C-PRP	M13267/82711943458049277218297229399631 : F4FE4AAD2461B383 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13267/82711943458049277218297229399631 : 55D865037FFC6B86 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13267/82711943458049277218297229399631 : 55D865037FFC6B86 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13267/82711943458049277218297229399631 : 55D865037FFC6B86 PRP without proof (not generated)