6 481 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
622177	6	19.2	old
2799793	7	21.4	old
38678609	8	25.2	old
87544774671882665385499673268127	32	106.1	old
8821141638485718252092735500785747871	37	122.7	old
14718903507569355205049900669756601020404584981047610167	56	183.3	2021-06-12 13:47:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1308 / 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	82C2F028294EB17C	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	82C2F028294EB17C	5	0	1	3
Verified (Factored)	2017-12-07	ATH	82C2F028294EB17C	5	2165	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F093F99E2223BB74	5	3259	5	3
Verified	2021-06-12	mikr	F093F99E2223BB74	6	6378	5	3

History

Date	User	Type	Result
2023-08-07	-Anonymous-	NF-PM1	B1=38000000000, B2=159095079570076650
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-06-12	mikr	C-PRP	M6481/622177/2799793/38678609/87544774671882665385499673268127/8821141638485718252092735500785747871/14718903507569355205049900669756601020404584981047610167 : F093F99E2223BB74 PRP: Verified PRP without proof (small exponent)
2021-06-12	Ryan Propper	F-ECM	Factor: 14718903507569355205049900669756601020404584981047610167 / (ECM curve 1, B1=110000000, B2=1094202959866, Sigma=7686864754290179194)
2020-04-17	Oliver Kruse	C-PRP	M6481/622177/2799793/38678609/87544774671882665385499673268127/8821141638485718252092735500785747871 : F093F99E2223BB74 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6481/622177/2799793/38678609/87544774671882665385499673268127/8821141638485718252092735500785747871 : 82C2F028294EB17C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6481/622177/2799793/38678609/87544774671882665385499673268127/8821141638485718252092735500785747871 : 82C2F028294EB17C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6481/known_factors : 82C2F028294EB17C PRP without proof (not generated)