1 457 791 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
409131556834701105370950956281	30	98.4	2023-06-25 14:33:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	105 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Barrett Davis	9779439E883EF6E8	0
Verified (Factored)	1999-01-10	Stephen Wood	9779439E883EF6E8	668245
Verified (Factored)	2015-06-27	MadPoo	9779439E883EF6E8	124202

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-06-27	Naegi Makoto	BC656FD6D9342790	1	1079991	5	3

P-1 factors

Date	Factor	B1	B2
2023-06-25	409131556834701105370950956281	1457791	17763296460

History

Date	User	Type	Result
2023-06-27	fre_games	CERT	PRP Certification Proof certified good
2023-06-27	Naegi Makoto	C-PRP	M1457791/409131556834701105370950956281 : BC656FD6D9342790 PRP proof power = 6 PRP: Verified Proof certified good
2023-06-25	Joss	F-PM1	Factor: 409131556834701105370950956281 / (P-1, B1=1457791, B2=17763296460)
2022-12-23	Kirill Frolov	NF-PM1	B1=1750000, B2=3810132690
2022-12-22	Joss	NF-PM1	B1=1457791, B2=1222401180
2020-02-14	Gordon Spence	NF	no factor from 2^67 to 2^68
2018-10-15	Joss	NF-PM1	B1=1457791, B2=160357010, E=12
2018-06-05	Joss	NF-PM1	B1=1457791, B2=145779100, E=12
2018-03-19	TJAOI	NF	no factor from 2^66 to 2^67
2016-08-27	Bruno Victal	NF-PM1	B1=2500000, B2=62500000, E=12
2016-08-22	Bruno Victal	NF-PM1	B1=2500000, B2=62500000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^62
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-09-18	ramgeis	NF	no factor from 2^65 to 2^66
2015-06-27	MadPoo	C-LL	9779439E883EF6E8
2015-03-28	snme2pm1	NF	no factor from 2^64 to 2^65
2015-03-28	snme2pm1	NF	no factor from 2^63 to 2^64
2015-02-16	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2015-02-02	Joss	NF-PM1	B1=393008
2015-01-28	Joss	NF-PM1	B1=324800
2015-01-26	Joss	NF-PM1	B1=295273
2014-11-19	Joss	NF-PM1	B1=244028
2011-04-05	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-09-16	Rob_Dee	NF-PM1	B1=200000, B2=5000000, E=6
2010-09-15	Rob_Dee	NF-PM1	B1=200000, B2=4000000, E=6
2010-09-14	Rob_Dee	NF-PM1	B1=200000, B2=3000000, E=6
2010-09-13	Rob_Dee	NF-PM1	B1=200000, B2=2000000, E=6
2010-09-12	Rob_Dee	NF-PM1	B1=200000, B2=1000000, E=6
2010-09-11	Rob_Dee	NF-PM1	B1=200000, B2=300000
2010-09-10	Rob_Dee	NF-PM1	B1=100000, B2=200000
2010-05-08	Architects Cubed	NF	no factor from 2^60 to 2^61

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