2 122 193 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1670559664901693266278459527	28	90.4	2024-09-17 16:15:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	150 / 640

Estimated T-Level: 26.2 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Martin Fahlgren	D378C6A4C57EC2CF	0
Verified (Factored)	1999-02-07	Michael Boss	D378C6A4C57EC2CF	693022
Verified (Factored)	2018-04-04	kkmrkkblmbrbk	D378C6A4C57EC2CF	2028237

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-09-20	Naegi Makoto	8E50C4C2A028A8E1	1	118458	5	3

History

Date	User	Type	Result
2024-09-21	LOBES	CERT	PRP Certification Proof certified good
2024-09-20	Naegi Makoto	C-PRP	M2122193/1670559664901693266278459527 : 8E50C4C2A028A8E1 PRP proof power = 7 PRP: Verified Proof certified good
2024-09-17	TJAOI	F-ECM	Factor: 1670559664901693266278459527 / (ECM curve 54, B1=250000, B2=264647565, Edwards Sigma=8519961728493114)
2022-12-27	Architects Cubed	NF	no factor from 2^69 to 2^70
2022-12-15	Architects Cubed	NF-PM1	B1=5000000, B2=9896994030
2021-08-26	TJAOI	NF	no factor from 2^68 to 2^69
2019-05-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-04	kkmrkkblmbrbk	C-LL	D378C6A4C57EC2CF
2017-08-30	Joss	NF-PM1	B1=504000, B2=5040000, E=6
2017-08-26	mikr	NF-PM1	B1=2500000, B2=125000000, E=12
2017-08-19	Joss	NF-PM1	B1=420000, B2=4200000, E=6
2016-10-15	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-06-24	Joss	NF-PM1	B1=210000, B2=6090000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-10-25	omylist	NF	no factor from 2^65 to 2^66
2015-03-15	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-15	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-09-06	ramgeis	NF	no factor from 2^62 to 2^63
2012-04-02	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-24	James Heinrich	NF-PM1	B1=140000, B2=3045000, E=6
2011-01-11	Joss	NF-PM1	B1=50000
2011-01-01	Joss	NF-PM1	B1=30000
2009-08-03	USAFSS	NF-PM1	B1=20000, B2=265000
2009-01-03	Sturle Sunde	NF	no factor from 2^60 to 2^61

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