1 681 991 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

1681991

Factored

Factor	Digits	Bits	Date
15779407377086668348816391432770630504092911	44	143.5	2022-12-20 21:17:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 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)		phil kenny	69BE0F0158E430E4	0
Verified (Factored)	1998-12-06	Kent Lee	69BE0F0158E430E4	335146
Verified (Factored)	2015-07-04	MadPoo	69BE0F0158E430E4	1497906

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-20	Naegi Makoto	E087F70307949FA0	1	1623781	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-20	15779407377086668348816391432770630504092911	25000000	568177269660

History

Date	User	Type	Result
2022-12-20	robogreen	CERT	PRP Certification Proof certified good
2022-12-20	Naegi Makoto	C-PRP	M1681991/15779407377086668348816391432770630504092911 : E087F70307949FA0 PRP proof power = 6 PRP: Verified Proof certified good
2022-12-20	Naegi Makoto	F-PM1	Factor: 15779407377086668348816391432770630504092911 / (P-1, B1=25000000, B2=568177269660)
2019-08-16	TJAOI	NF	no factor from 2^67 to 2^68
2018-10-16	Joss	NF-PM1	B1=1681991, B2=185019010, E=12
2018-06-14	Joss	NF-PM1	B1=1681991, B2=168199100, E=12
2018-02-20	Joss	NF-PM1	B1=1681991, B2=80000000, E=12
2018-02-06	Joss	NF-PM1	B1=1681991, B2=40000000, E=12
2018-01-21	Joss	NF-PM1	B1=1681991, B2=20000000, E=12
2017-09-22	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 2^61 to 2^62
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-10-12	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-04	MadPoo	C-LL	69BE0F0158E430E4
2015-05-14	monst	NF	no factor from 2^64 to 2^65
2015-05-13	omylist	NF	no factor from 2^63 to 2^64
2012-03-01	Axon	NF-PM1	B1=1000000, B2=20000000, E=12
2012-03-01	Axon	NF-PM1	B1=1000000, B2=8000000, E=12
2012-02-29	Axon	NF-PM1	B1=1000000
2012-02-29	Axon	NF-PM1	B1=900000
2012-02-29	Axon	NF-PM1	B1=800000
2012-02-29	Axon	NF-PM1	B1=700000
2012-02-29	Axon	NF-PM1	B1=600000
2012-02-29	Axon	NF-PM1	B1=500000
2012-02-29	Axon	NF-PM1	B1=400000
2012-02-29	Axon	NF-PM1	B1=300000
2012-02-29	Axon	NF-PM1	B1=200000
2012-02-29	Axon	NF-PM1	B1=100000
2011-01-24	Joss	NF-PM1	B1=50000
2010-09-26	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-26	Architects Cubed	NF	no factor from 2^60 to 2^61

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