10 657 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
2216657	7	21.1	old
39041962129	11	35.2	2003-04-03 00:00:00
874071793921	12	39.7	2008-08-26 19:58:32
2166536299513	13	41.0	2008-08-26 19:58:32
67867710628343	14	45.9	2008-08-26 19:58:32
277342730769618156583567703	27	87.8	2009-06-01 22:54:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1585 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	D971523C1E80E56A	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D971523C1E80E56A	6	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D971523C1E80E56A	6	8722	1	3
Verified	2020-04-17	Oliver Kruse	BDCA3AC83E237C9A	6	730	5	3
Verified	2024-07-01	kkmrkkblmbrbk	BDCA3AC83E237C9A	6	4200	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=191/61, B1=640000000, B2=639360000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-28	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10657/2166536299513/2216657/277342730769618156583567703/39041962129/67867710628343/874071793921 : BDCA3AC83E237C9A PRP: Verified PRP without proof (small exponent)
2022-11-09	-Anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2022-03-05	Joss	NF-PM1	B1=1000000000, B2=1002689751483420
2022-03-05	Joss	NF-PM1	B1=1000000000, B2=104918137544220
2022-03-05	Joss	NF-PM1	B1=1000000000, B2=12500472934950
2022-03-05	Joss	NF-PM1	B1=1000000000, B2=6419160908160
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : BDCA3AC83E237C9A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : D971523C1E80E56A PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : D971523C1E80E56A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : D971523C1E80E56A PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-06-01	Rob_Dee	F-ECM	Factor: 277342730769618156583567703
2008-08-26	-Anonymous-	F	Factor: 67867710628343
2008-08-26	-Anonymous-	F	Factor: 2166536299513
2008-08-26	-Anonymous-	F	Factor: 874071793921
2008-08-26	-Anonymous-	F	Factor: 39041962129

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