3 861 967 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁶⁴

Factored

Factor	Digits	Bits	Date
996387487	9	29.9	old
14057559881	11	33.7	2008-09-07 21:12:43
10645473415831	14	43.3	2008-09-30 21:30:32
937429376985287	15	49.7	2014-05-09 18:29:03
1009449222241183	16	49.8	2014-05-14 11:42:10
3992835802972061489	19	61.8	2016-05-31 11:45:51

P-1 factors

Date	Factors	B1	B2
2022-07-21	No new factors discovered	3861967	3891751500
2022-02-13	No new factors discovered	2300000	134904000
2022-02-09	No new factors discovered	2300000	2300000

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-09-20	kkmrkkblmbrbk	B1043996D6E864E4	6	0	1	3
Verified	PRP without proof (not generated)	2017-12-22	storm5510	B1043996D6E864E4	6	1990212	1	3

History

Date	User	Type	Result
2022-10-05	Joss	NF-PM1	B1=4200000, B2=711820200
2022-09-02	Joss	NF-PM1	B1=4200000, B2=217278600
2022-07-21	Joss	F-PM1	Factor: 3992835802972061489 / B1=3861967, B2=3891751500
2022-06-19	LordJulius	NF	no factor TF: 64-65
2022-06-19	LordJulius	NF	no factor TF: 65-66
2022-06-19	LordJulius	NF	no factor TF: 63-64
2022-06-19	LordJulius	NF	no factor TF: 62-63
2022-03-21	Joss	NF-PM1	B1=2300000, B2=1003510200
2022-02-13	Joss	F-PM1	Factor: 1009449222241183 / B1=2300000, B2=134904000
2022-02-09	Joss	F-PM1	Factor: 139778941058474107098201342985727170020195962359 / B1=2300000
2020-03-27	Joss	NF-PM1	B1=2300000, B2=200000000, E=12
2020-01-28	Joss	NF-PM1	B1=2300000, B2=100000000, E=12
2019-06-18	Seth_Tr	NF	no factor TF: 66-67
2017-12-22	storm5510	C-PRP	M3861967/996387487/14057559881/10645473415831/937429376985287/1009449222241183/3992835802972061489 : B1043996D6E864E4
2017-09-20	kkmrkkblmbrbk	C-PRP	M3861967/1009449222241183/10645473415831/14057559881/3992835802972061489/937429376985287/996387487 : B1043996D6E864E4
2016-05-31	TJAOI	F	Factor: 3992835802972061489
2014-05-14	TJAOI	F	Factor: 1009449222241183
2014-05-09	TJAOI	F	Factor: 937429376985287
2008-09-30	markr	F	Factor: 10645473415831
2008-09-07	Will Edgington	F	Factor: 14057559881

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