1 860 583 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
7297567072508354191247	22	72.6	2019-12-04 19:37:03

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 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)		Joseph Charrier	0312D1F21C21FC74	0
Verified (Factored)	1998-12-13	Nuutti Kuosa	0312D1F21C21FC74	1274974
Verified (Factored)	2015-07-16	MadPoo	0312D1F21C21FC74	1201765

PRP

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	B7C7589872A8D651	0	1	3

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-12-05	GAN	B7C7589872A8D651	1	1564816	5	3
Verified	2019-12-07	arnaud	B7C7589872A8D651	1	554758	5	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	B7C7589872A8D651 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2019-12-07	arnaud	C-PRP	M1860583/7297567072508354191247 : B7C7589872A8D651 PRP: Verified PRP without proof (not generated)
2019-12-05	GAN	C-PRP	M1860583/7297567072508354191247 : B7C7589872A8D651 PRP: Verified PRP without proof (not generated)
2019-12-04	TheJudger	F-ECM	Factor: 7297567072508354191247 / (ECM curve 2, B1=50000, B2=5000000)
2019-07-08	TJAOI	NF	no factor from 2^67 to 2^68
2018-10-25	Joss	NF-PM1	B1=2579889, B2=204664130, E=12
2018-09-17	Joss	NF-PM1	B1=2579889, B2=186058300, E=12
2018-05-14	TJAOI	NF	no factor from 2^66 to 2^67
2018-02-26	Joss	NF-PM1	B1=2579889, B2=103195560, E=12
2018-02-11	Joss	NF-PM1	B1=2579889, B2=51597780, E=12
2017-05-06	Joss	NF-PM1	B1=2579889, B2=25798890, E=12
2017-04-01	Joss	NF-PM1	B1=2149908, B2=21499080, E=12
2017-03-28	Joss	NF-PM1	B1=1791590, B2=17915900, E=12
2017-03-22	Joss	NF-PM1	B1=1492992, B2=14929920, E=12
2017-02-11	Joss	NF-PM1	B1=1244160, B2=12441600, E=12
2017-01-14	Joss	NF-PM1	B1=1036800
2016-12-29	Joss	NF-PM1	B1=864000
2016-12-19	Joss	NF-PM1	B1=720000
2016-10-29	Joss	NF-PM1	B1=600000
2016-10-07	Joss	NF-PM1	B1=500000, B2=39600000, E=6
2016-09-30	Joss	NF-PM1	B1=500000, B2=33000000, E=6
2016-09-13	Joss	NF-PM1	B1=500000, B2=30000000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
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
2015-10-07	Bruno Victal	NF-PM1	B1=500000, B2=15000000, E=12
2015-09-10	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-16	MadPoo	C-LL	0312D1F21C21FC74
2015-05-07	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-07	snme2pm1	NF	no factor from 2^63 to 2^64
2012-01-05	markr	NF-PM1	B1=275000, B2=6000000, E=12
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-06	Architects Cubed	NF	no factor from 2^60 to 2^61

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