1 663 589 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
136908773471848213635255339977127321507398417	45	146.6	2022-12-17 05:43:28

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)		George Woltman	BD03F33EAA95A467	0
Verified (Factored)	1998-12-13	Kent Lee	BD03F33EAA95A467	514657
Verified (Factored)	2015-07-10	MadPoo	BD03F33EAA95A467	1122162

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-17	Naegi Makoto	22B9317B2986A153	1	1073671	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-17	136908773471848213635255339977127321507398417	25000000	611707496400

History

Date	User	Type	Result
2022-12-17	John Dalbec	CERT	PRP Certification Proof certified good
2022-12-17	Naegi Makoto	C-PRP	M1663589/136908773471848213635255339977127321507398417 : 22B9317B2986A153 PRP proof power = 6 PRP: Verified Proof certified good
2022-12-17	Naegi Makoto	F-PM1	Factor: 136908773471848213635255339977127321507398417 / (P-1, B1=25000000, B2=611707496400)
2019-08-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-05-29	VictordeHollander	NF-PM1	B1=10000000, B2=200000000, E=12
2018-02-21	Joss	NF-PM1	B1=1663589, B2=80000000, E=12
2018-02-04	Joss	NF-PM1	B1=1663589, B2=40000000, E=12
2018-01-20	Joss	NF-PM1	B1=1663589, B2=20000000, E=12
2017-10-06	TJAOI	NF	no factor from 2^66 to 2^67
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
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-10-11	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-10	MadPoo	C-LL	BD03F33EAA95A467
2015-05-12	monst	NF	no factor from 2^64 to 2^65
2015-05-10	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
2010-08-22	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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