3 793 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
60689	5	15.9	old
91033	5	16.5	old
18200420568170207	17	54.0	old
799074295023809515949432177	27	89.4	old
15489069026575436129311218673197959	35	113.6	old
2041445310144297883785340439220336819790948089094868808059882929	64	210.3	2021-06-05 04:06:23

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	17122 / 40830

Estimated T-Level: 52.1 ⓘ

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	DA45515B2ADC77EB	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DA45515B2ADC77EB	5	0	1	3
Verified (Factored)	2017-12-07	ATH	DA45515B2ADC77EB	5	1017	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	E9DD932FDA488B92	5	2398	5	3
Verified	2021-06-05	LOBES	E9DD932FDA488B92	6	3092	5	3

History

Date	User	Type	Result
2024-06-23	masser	NF-PM1	B1=77000000000, B2=9762081234305400
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2021-06-05	LOBES	C-PRP	M3793/60689/91033/18200420568170207/799074295023809515949432177/15489069026575436129311218673197959/2041445310144297883785340439220336819790948089094868808059882929 : E9DD932FDA488B92 PRP: Verified PRP without proof (small exponent)
2021-06-05	Ryan Propper	F-ECM	Factor: 2041445310144297883785340439220336819790948089094868808059882929 / (ECM curve 1, B1=850000000, B2=14601464077218, Sigma=8721614640827903633)
2020-04-17	Oliver Kruse	C-PRP	M3793/60689/91033/18200420568170207/799074295023809515949432177/15489069026575436129311218673197959 : E9DD932FDA488B92 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3793/60689/91033/18200420568170207/799074295023809515949432177/15489069026575436129311218673197959 : DA45515B2ADC77EB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3793/60689/91033/18200420568170207/799074295023809515949432177/15489069026575436129311218673197959 : DA45515B2ADC77EB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3793/known_factors : DA45515B2ADC77EB PRP without proof (not generated)