5 009 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
36425449	8	25.1	old
1763391639394020511783	22	70.6	old
28904315306203343780780833039753	32	104.5	old
41768436212945348511408166204389379439	38	125.0	2013-04-12 22:51:19

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	15013 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	0A4DC8F9479B8369	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	0A4DC8F9479B8369	4	0	1	3
Verified	2017-12-07	ATH	0A4DC8F9479B8369	4	2122	1	3
Verified	2020-04-17	Oliver Kruse	71CA0FE4D1A4CBCD	4	3161	5	3
Verified	2024-02-03	Wentao Huang	71CA0FE4D1A4CBCD	4	2040	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-12	64232332227773285056905565567	1000000	1000000
2021-08-12	64232332227773285056905565567	10000000	10000000

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5009/36425449/1763391639394020511783/28904315306203343780780833039753/41768436212945348511408166204389379439 : 71CA0FE4D1A4CBCD PRP: Verified PRP without proof (small exponent)
2023-06-02	-Anonymous-	NF-PM1	B1=63000000000, B2=632233314515152350
2021-08-12	H Michaelson	F-PM1	Factor: 64232332227773285056905565567 / (P-1, B1=10000000)
2021-08-12	H Michaelson	F-PM1	Factor: 64232332227773285056905565567 / (P-1, B1=1000000)
2020-04-17	Oliver Kruse	C-PRP	M5009/36425449/1763391639394020511783/28904315306203343780780833039753/41768436212945348511408166204389379439 : 71CA0FE4D1A4CBCD PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5009/36425449/1763391639394020511783/28904315306203343780780833039753/41768436212945348511408166204389379439 : 0A4DC8F9479B8369 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5009/36425449/1763391639394020511783/28904315306203343780780833039753/41768436212945348511408166204389379439 : 0A4DC8F9479B8369 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5009/known_factors : 0A4DC8F9479B8369 PRP without proof (not generated)
2013-04-12	Never Odd Or Even	F-ECM	Factor: 41768436212945348511408166204389379439