3 109 681 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2537499697	10	31.2	old
115450016807	12	36.7	2008-09-07 19:44:10
786469421711	12	39.5	2008-09-30 14:46:26
41231173832522745977	20	65.2	2018-07-03 09:40:48
4359097574881741820124289	25	81.9	2022-01-13 11:07:54

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.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-29	Oliver Kruse	71F1C86A620B010C	3	2934860	5	3
Verified (Factored)	2017-12-11	kkmrkkblmbrbk	71F1C86A620B010C	3	982157	5	3
Verified (Factored)	2018-07-03	_p95holder_	71F1C86A620B010C	4	1676377	5	3
Verified	2022-01-17	SRJ2877	71F1C86A620B010C	5	2407099	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-13	4359097574881741820124289	3109681	450177000

History

Date	User	Type	Result
2022-07-18	Joss	NF-PM1	B1=3109681, B2=3137804670
2022-03-20	Joss	NF-PM1	B1=3109681, B2=1035057870
2022-01-17	Keith Outwater	CERT	PRP Certification Proof certified good
2022-01-17	SRJ2877	C-PRP	M3109681/2537499697/115450016807/786469421711/41231173832522745977/4359097574881741820124289 : 71F1C86A620B010C PRP proof power = 7 PRP: Verified Proof certified good
2022-01-13	Joss	F-PM1	Factor: 4359097574881741820124289 / (P-1, B1=3109681, B2=450177000)
2021-12-29	Joss	NF-PM1	B1=3109681, B2=116689650
2021-12-28	Joss	NF-PM1	B1=3109681
2021-09-03	Joss	NF	no factor from 2^68 to 2^69
2021-02-06	Joss	NF	no factor from 2^67 to 2^68
2021-02-06	Joss	NF	no factor from 2^66 to 2^67
2021-01-14	Joss	NF	no factor from 2^64 to 2^65
2021-01-09	Joss	NF	no factor from 2^63 to 2^64
2021-01-05	Joss	NF	no factor from 2^62 to 2^63
2021-01-05	Joss	NF	no factor from 2^61 to 2^62
2021-01-04	Joss	NF	no factor from 2^60 to 2^61
2020-12-27	Joss	NF-PM1	B1=310968, B2=6219362, E=6
2020-04-14	Joss	NF-PM1	B1=310968, B2=3109681, E=6
2018-07-03	_p95holder_	C-PRP	M3109681/2537499697/115450016807/786469421711/41231173832522745977 : 71F1C86A620B010C PRP: Verified (Factored) PRP without proof (not generated)
2018-07-03	TJAOI	F	Factor: 41231173832522745977 / TF: 65-66
2017-12-11	kkmrkkblmbrbk	C-PRP	M3109681/2537499697/115450016807/786469421711 : 71F1C86A620B010C PRP: Verified (Factored) PRP without proof (not generated)
2017-10-29	Oliver Kruse	C-PRP	M3109681/2537499697/115450016807/786469421711 : 71F1C86A620B010C PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 786469421711
2008-09-07	Will Edgington	F	Factor: 115450016807

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