5 039 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
10079	5	13.3	old
122498341951	12	36.8	old
428273841449	12	38.6	old
5007705207793320833	19	62.1	old
1725084016279430824803419638976674047412667172744591271	55	180.2	2024-02-03 16:46:35

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	15902 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 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	3471F99EAC201109	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	3471F99EAC201109	4	0	1	3
Verified (Factored)	2017-12-07	ATH	3471F99EAC201109	4	4336	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D4D96E680278EFD8	4	2544	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	D4D96E680278EFD8	1	4437	5	3
Verified (Factored)	2024-02-03	Wentao Huang	D4D96E680278EFD8	4	2248	5	3
Verified	2024-02-04	Ryan Propper	D4D96E680278EFD8	5	652	5	3

P-1 factors

Date	Factor	B1	B2
2021-08-12	528772918787680142056822921	10000000	10000000

History

Date	User	Type	Result
2024-02-04	Ryan Propper	C-PRP	M5039/10079/122498341951/428273841449/5007705207793320833/1725084016279430824803419638976674047412667172744591271 : D4D96E680278EFD8 PRP: Verified PRP without proof (small exponent)
2024-02-03	Ryan Propper	F-ECM	Factor: 1725084016279430824803419638976674047412667172744591271 / (ECM curve 14, B1=260000000, B2=6083641994430, Edwards Sigma=4916903885338847)
2024-02-03	Wentao Huang	C-PRP	M5039/10079/122498341951/428273841449/5007705207793320833 : D4D96E680278EFD8 PRP: Verified PRP without proof (small exponent)
2023-06-10	-Anonymous-	NF-PM1	B1=63000000000, B2=632233314515152350
2022-05-12	Jorge Coveiro	C-PRP	M5039/10079 : D4D96E680278EFD8 PRP: Verified PRP without proof (small exponent)
2021-08-12	H Michaelson	F-PM1	Factor: 528772918787680142056822921 / (P-1, B1=10000000)
2020-04-17	Oliver Kruse	C-PRP	M5039/10079/122498341951/428273841449/5007705207793320833 : D4D96E680278EFD8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5039/10079/122498341951/428273841449/5007705207793320833 : 3471F99EAC201109 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5039/10079/122498341951/428273841449/5007705207793320833 : 3471F99EAC201109 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5039/known_factors : 3471F99EAC201109 PRP without proof (not generated)