1 715 789 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
9371073075676571382198199	25	83.0	2015-09-27 19:54:21

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)		Ed Knapton	032BA9597A814773	0
Verified (Factored)	1998-12-06	Roger Smith	032BA9597A814773	978347
Verified (Factored)	2015-07-19	MadPoo	032BA9597A814773	1644962

PRP

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	321F1D80029DECD2	0	1	3

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	9EE46228BD8A167D	1	0	1	3
Verified	2017-10-19	Oliver Kruse	9EE46228BD8A167D	1	596172	1	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	321F1D80029DECD2 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-10-19	Oliver Kruse	C-PRP	M1715789/9371073075676571382198199 : 9EE46228BD8A167D PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1715789/9371073075676571382198199 : 9EE46228BD8A167D PRP: Verified PRP without proof (not generated)
2015-09-27	mikr	F-ECM	Factor: 9371073075676571382198199 / (ECM curve 9, B1=50000, B2=5000000)
2015-09-01	ramgeis	NF	no factor from 2^65 to 2^66
2015-08-06	mikr	NF-PM1	B1=3642200, B2=123456789, E=12
2015-08-05	Joss	NF-PM1	B1=1719235
2015-07-24	Joss	NF-PM1	B1=1562941
2015-07-19	MadPoo	C-LL	032BA9597A814773
2015-07-13	Joss	NF-PM1	B1=1420856
2015-07-07	Joss	NF-PM1	B1=1291688
2015-06-25	Joss	NF-PM1	B1=1174262
2015-06-08	Joss	NF-PM1	B1=1067511
2015-05-26	Joss	NF-PM1	B1=970465
2015-05-22	Joss	NF-PM1	B1=882241
2015-05-07	Joss	NF-PM1	B1=802038
2015-05-02	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-02	snme2pm1	NF	no factor from 2^63 to 2^64
2015-05-01	Joss	NF-PM1	B1=729126
2015-04-08	Joss	NF-PM1	B1=602584
2015-03-14	Joss	NF-PM1	B1=498004
2015-03-06	Joss	NF-PM1	B1=452731
2015-02-22	Joss	NF-PM1	B1=411574
2015-02-20	Joss	NF-PM1	B1=374159
2015-02-16	Joss	NF-PM1	B1=340145
2015-02-03	Joss	NF-PM1	B1=309223
2015-01-09	Joss	NF-PM1	B1=281112
2014-10-05	Joss	NF-PM1	B1=187408
2014-05-03	Joss	NF-PM1	B1=150000
2014-04-01	Joss	NF-PM1	B1=100000
2011-02-09	Carsten Kossendey	NF-PM1	B1=90000, B2=1507500, E=6
2010-10-16	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-21	Architects Cubed	NF	no factor from 2^60 to 2^61

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