2 074 981 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

2074981

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
251648979045498705959	21	67.8	2022-11-20 10:26:57
123148804407896969496313	24	76.7	2016-02-19 23:45:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	166 / 640

Estimated T-Level: 26.3 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Robert L. Klungle	B4D65EE09683C1A7	0
Verified (Factored)	1999-02-07	David Underbakke	B4D65EE09683C1A7	1948206

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	F951D1E6851AE01E	1	0	1	3
Verified (Factored)	2017-11-16	kkmrkkblmbrbk	F951D1E6851AE01E	1	1466245	1	3
Verified	2022-11-23	LordJulius	DE756A05DC8219CE	2	104977	5	3

History

Date	User	Type	Result
2022-11-23	lozcs	CERT	PRP Certification Proof certified good
2022-11-23	LordJulius	C-PRP	M2074981/251648979045498705959/123148804407896969496313 : DE756A05DC8219CE PRP proof power = 7 PRP: Verified Proof certified good
2022-11-20	_p95holder_	F-ECM	Factor: 251648979045498705959 / (ECM curve 3, B1=50000, B2=5000000)
2022-08-25	USAFSS	NF-PM1	B1=600000, B2=643258980
2017-11-16	kkmrkkblmbrbk	C-PRP	M2074981/123148804407896969496313 : F951D1E6851AE01E PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2074981/123148804407896969496313 : F951D1E6851AE01E PRP: Verified (Factored) PRP without proof (not generated)
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-19	Sintax	F-ECM	Factor: 123148804407896969496313 / (ECM curve 3, B1=50000, B2=5000000)
2015-11-05	ramgeis	NF	no factor from 2^65 to 2^66
2015-07-07	Joss	NF-PM1	B1=2247232
2015-06-25	Joss	NF-PM1	B1=2042939
2015-06-08	Joss	NF-PM1	B1=1857218
2015-05-26	Joss	NF-PM1	B1=1688380
2015-05-22	Joss	NF-PM1	B1=1534891
2015-05-01	Joss	NF-PM1	B1=1395356
2015-04-08	Joss	NF-PM1	B1=1153188
2015-03-28	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-28	VictordeHollander	NF	no factor from 2^63 to 2^64
2015-03-15	Joss	NF-PM1	B1=866409
2015-03-12	Joss	NF-PM1	B1=787645
2015-03-03	Joss	NF-PM1	B1=716041
2015-02-25	Joss	NF-PM1	B1=650947
2015-02-16	Joss	NF-PM1	B1=591770
2015-02-14	Joss	NF-PM1	B1=537973
2015-02-11	Joss	NF-PM1	B1=404189
2015-01-31	Joss	NF-PM1	B1=250971
2015-01-30	Joss	NF-PM1	B1=228156
2015-01-29	Joss	NF-PM1	B1=207415
2014-11-06	Joss	NF-PM1	B1=165932
2013-09-01	ramgeis	NF	no factor from 2^62 to 2^63
2012-03-16	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-20	James Heinrich	NF-PM1	B1=135000, B2=3071250, E=6
2011-01-07	Joss	NF-PM1	B1=50000
2010-12-26	Joss	NF-PM1	B1=30000
2009-07-25	USAFSS	NF-PM1	B1=20000, B2=260000
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61

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