588 043 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
181527716709416369605498206847282156841	39	127.1	2021-02-06 12:35:13

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3734	0
Verified (Factored)		Brian J. Beesley	42BC63A054FEB734	0
Verified (Factored)		Joel Smith	42BC63A054FEB734	0
Verified (Factored)	2015-04-11	MadPoo	42BC63A054FEB734	562656

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-02-06	mrh	3570876F390F0ED5	1	378246	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-02-07	Numberwang	CERT	PRP Certification Proof certified good
2021-02-06	mrh	C-PRP	M588043/181527716709416369605498206847282156841 : 3570876F390F0ED5 PRP proof power = 6 PRP: Verified Proof certified good
2021-02-06	monsted	F-ECM	Factor: 181527716709416369605498206847282156841 / (ECM curve 6, B1=250000, B2=25000000, Sigma=6629785692092020)
2020-02-15	Yxinity	NF	no factor from 2^66 to 2^67
2019-05-06	alex	NF-PM1	B1=10000000, B2=400000000, E=12
2018-06-04	chuenkit	NF	no factor from 2^65 to 2^66
2017-08-11	Conductor	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^60 to 2^61
2015-11-13	Sid & Andy	NF-PM1	B1=5880430, B2=176412900, E=12
2015-10-22	Bruno Victal	NF-PM1	B1=1600000, B2=66000000, E=12
2015-09-06	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-06	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-12	NR	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	42BC63A054FEB734
2013-10-16	David Campeau	NF-PM1	B1=1240000, B2=39680000, E=12
2012-07-21	Joss	NF-PM1	B1=1176086
2012-03-05	Joss	NF-PM1	B1=826654
2011-08-24	Joss	NF-PM1	B1=661323
2011-07-02	Joss	NF-PM1	B1=396794

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