10 657 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	9201 / 9201
50	44000000	3290 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D971523C1E80E56A	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D971523C1E80E56A	6	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	D971523C1E80E56A	6	8722	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BDCA3AC83E237C9A	6	730	5	3
Verified	No proof (small exponent)	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
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
2017-10-12	kkmrkkblmbrbk	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : D971523C1E80E56A
2017-10-02	kkmrkkblmbrbk	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : D971523C1E80E56A
2017-09-21	Oliver Kruse	C-PRP	M10657/2216657/39041962129/874071793921/2166536299513/67867710628343/277342730769618156583567703 : D971523C1E80E56A
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
2003-04-10	-anonymous-	F	Factor: 86542638646982753
2003-04-03	-anonymous-	F	Factor: 86542638646982753

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