1 731 731 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

1731731

Composite: proven not-prime with both PRP and Lucas-Lehmer tests

No factors below 2⁶⁸

TF target 2⁶¹

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

P-1

B1 =	17000000
B2 =	272007836100

ECM

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

Estimated T-Level: 25.8 ⓘ

Status	Date	User	Residue	Shift
Verified		Ed Knapton	4DCF30510C34E42E	0
Verified	1998-11-28	Nuutti Kuosa	4DCF30510C34E42E	7461
Verified	2015-07-01	MadPoo	4DCF30510C34E42E	147412

PRP

Status	Date	User	Residue	Shift	Type	Base
Verified	2025-09-02	Kriesel	A05EDFA6BC928ADE	0	1	3

History

Date	User	Type	Result
2025-09-03	phduval	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	A05EDFA6BC928ADE PRP proof power = 6 PRP: Verified Proof certified good
2023-06-28	linament	NF-PM1	B1=17000000, B2=272007836100
2023-06-28	linament	NF-PM1	B1=17000000
2023-05-16	Joss	NF-PM1	B1=1891048, B2=6544356000
2023-03-04	Joss	NF-PM1	B1=1891048, B2=2866906350
2023-01-04	Joss	NF-PM1	B1=1891048, B2=1043001960
2022-07-31	masser	NF-PP1	Start=103/47, B1=1700000, B2=61200000
2019-08-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-10-17	Joss	NF-PM1	B1=1891048, B2=190490410, E=12
2018-10-11	Joss	NF-PM1	B1=1891048, B2=173173100, E=12
2018-10-03	Joss	NF-PM1	B1=1891048, B2=17317310, E=12
2018-06-04	TJAOI	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
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
2015-09-17	mikr	NF-PM1	B1=3642200, B2=123456789, E=12
2015-09-15	Joss	NF-PM1	B1=1719135
2015-09-03	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-27	Joss	NF-PM1	B1=1562850
2015-07-21	Joss	NF-PM1	B1=1420773
2015-07-07	Joss	NF-PM1	B1=1291612
2015-07-01	MadPoo	C-LL	4DCF30510C34E42E
2015-06-25	Joss	NF-PM1	B1=1174193
2015-06-08	Joss	NF-PM1	B1=1067449
2015-05-26	Joss	NF-PM1	B1=970409
2015-05-22	Joss	NF-PM1	B1=882190
2015-05-07	Joss	NF-PM1	B1=801991
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=729083
2015-04-08	Joss	NF-PM1	B1=602549
2015-03-15	Joss	NF-PM1	B1=497975
2015-03-08	Joss	NF-PM1	B1=452705
2015-02-22	Joss	NF-PM1	B1=411550
2015-02-20	Joss	NF-PM1	B1=374137
2015-02-12	Joss	NF-PM1	B1=340125
2015-01-29	Joss	NF-PM1	B1=281096
2015-01-27	Joss	NF-PM1	B1=255542
2014-12-02	Joss	NF-PM1	B1=211192
2014-09-10	Joss	NF-PM1	B1=174128
2014-05-06	Joss	NF-PM1	B1=137064
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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