3 411 671 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
407037540729853046809	21	68.5	2016-12-01 00:17:24
16240547539522509968032049	26	83.7	2021-12-20 20:11:19

ECM

Digits	B1	Curves
25	50000	10 / 280

Estimated T-Level: 20.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Gary Hanson	2A8630631552A6C7	0
Verified (Factored)	1999-07-27	W. Izatt	2A8630631552A6C7	1191041

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-06	alpertron	40BAAE7FA6AD5916	1	2194551	5	3
Verified (Factored)	2017-11-21	Oliver Kruse	40BAAE7FA6AD5916	1	811698	5	3
Verified	2021-12-27	GAN	40BAAE7FA6AD5916	2	28499	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-20	16240547539522509968032049	3411671	111907950

History

Date	User	Type	Result
2022-08-16	Joss	NF-PM1	B1=3411671, B2=368560500
2022-04-25	LordJulius	NF	no factor from 2^66 to 2^67
2022-04-25	LordJulius	NF	no factor from 2^65 to 2^66
2022-04-25	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-25	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-25	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-25	LordJulius	NF	no factor from 2^1 to 2^62
2021-12-27	Derek	CERT	PRP Certification Proof certified good
2021-12-27	GAN	C-PRP	M3411671/407037540729853046809/16240547539522509968032049 : 40BAAE7FA6AD5916 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-20	Joss	F-PM1	Factor: 16240547539522509968032049 / (P-1, B1=3411671, B2=111907950)
2021-06-09	Joss	NF	no factor from 2^67 to 2^68
2021-06-09	Joss	NF-PM1	B1=3411671
2021-03-16	Joss	NF-PM1	B1=341167, B2=3752838, E=6
2017-11-21	Oliver Kruse	C-PRP	M3411671/407037540729853046809 : 40BAAE7FA6AD5916 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-06	alpertron	C-PRP	M3411671/407037540729853046809 : 40BAAE7FA6AD5916 PRP: Verified (Factored) PRP without proof (not generated)
2016-12-01	f0rteOC	F-ECM	Factor: 407037540729853046809
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-04-08	Gordon Spence	NF	no factor from 2^65 to 2^66
2015-01-30	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-30	VictordeHollander	NF	no factor from 2^63 to 2^64
2011-10-31	markr	NF-PM1	B1=215000, B2=4783750, E=6
2011-07-25	Carsten Kossendey	NF	no factor from 2^61 to 2^63
2009-07-04	Carsten Kossendey	NF-PM1	B1=15000, B2=210000
2009-03-24	S485122	NF	no factor from 2^60 to 2^61

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