1 731 929 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

1731929

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

Factored

Factor	Digits	Bits	Date
1253414493813527420471	22	70.1	2020-05-13 03:12:28

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	3D9D403C86BD26CD	0
Verified (Factored)	1999-02-07	W. Izatt	3D9D403C86BD26CD	1453833
Verified (Factored)	2015-07-18	MadPoo	3D9D403C86BD26CD	893963

PRP

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	438EE82D2E2AB0AF	0	1	3

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-05-13	M Miller	438EE82D2E2AB0AF	1	1684273	5	3
Verified	2020-05-15	arnaud	438EE82D2E2AB0AF	1	1167060	5	3

History

Date	User	Type	Result
2025-09-03	ike	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	438EE82D2E2AB0AF PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-05-15	arnaud	C-PRP	M1731929/1253414493813527420471 : 438EE82D2E2AB0AF PRP: Verified PRP without proof (not generated)
2020-05-13	M Miller	C-PRP	M1731929/1253414493813527420471 : 438EE82D2E2AB0AF PRP: Verified PRP without proof (not generated)
2020-05-13	mnd9	F-ECM	Factor: 1253414493813527420471 / (ECM curve 3, B1=50000, B2=5000000, Sigma=8278326884381011)
2019-08-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-10-17	Joss	NF-PM1	B1=1890916, B2=190512190, E=12
2018-10-11	Joss	NF-PM1	B1=1890916, B2=173192900, E=12
2018-10-03	Joss	NF-PM1	B1=1890916, B2=17319290, E=12
2018-06-04	TJAOI	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^62
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-09-18	mikr	NF-PM1	B1=3642200, B2=123456789, E=12
2015-09-15	Joss	NF-PM1	B1=1719015
2015-09-03	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-27	Joss	NF-PM1	B1=1562741
2015-07-21	Joss	NF-PM1	B1=1420674
2015-07-18	MadPoo	C-LL	3D9D403C86BD26CD
2015-07-07	Joss	NF-PM1	B1=1291522
2015-06-25	Joss	NF-PM1	B1=1174111
2015-06-08	Joss	NF-PM1	B1=1067374
2015-05-26	Joss	NF-PM1	B1=970340
2015-05-22	Joss	NF-PM1	B1=882128
2015-05-07	Joss	NF-PM1	B1=801935
2015-05-04	snme2pm1	NF	no factor from 2^64 to 2^65
2015-05-04	snme2pm1	NF	no factor from 2^63 to 2^64
2015-05-01	Joss	NF-PM1	B1=729032
2015-04-08	Joss	NF-PM1	B1=602507
2015-03-15	Joss	NF-PM1	B1=497940
2015-03-08	Joss	NF-PM1	B1=452673
2015-02-22	Joss	NF-PM1	B1=411521
2015-02-20	Joss	NF-PM1	B1=374110
2015-02-12	Joss	NF-PM1	B1=340100
2015-01-29	Joss	NF-PM1	B1=281075
2015-01-27	Joss	NF-PM1	B1=255523
2014-12-02	Joss	NF-PM1	B1=211177
2014-09-10	Joss	NF-PM1	B1=174118
2014-05-06	Joss	NF-PM1	B1=137059
2014-04-04	Joss	NF-PM1	B1=100000
2011-02-07	Carsten Kossendey	NF-PM1	B1=95000, B2=1543750, E=6
2010-11-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-23	Architects Cubed	NF	no factor from 2^60 to 2^61

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