2 249 431 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
22286144327562239158687	23	74.2	2020-06-16 20:30:16
158627982656843323510751	24	77.1	2025-08-19 09:39:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	148 / 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)		John Borleis III	327E7917B49EC28B	0
Verified (Factored)	1999-02-14	Goede Schueler/Christoph Steinbeck	327E7917B49EC28B	1852395
Verified (Factored)	2018-04-22	kkmrkkblmbrbk	327E7917B49EC28B	214446

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2020-06-16	ATH	62D5DC9122A94AE6	1	1866875	5	3
Verified (Factored)	2020-06-18	arnaud	62D5DC9122A94AE6	1	1974390	5	3
Verified	2025-08-25	Gnarwhals	62D5DC9122A94AE6	2	851352	5	3

History

Date	User	Type	Result
2025-08-25	69-bit_color_depth	CERT	PRP Certification Proof certified good
2025-08-25	Gnarwhals	C-PRP	M2249431/22286144327562239158687/158627982656843323510751 : 62D5DC9122A94AE6 PRP proof power = 7 PRP: Verified Proof certified good
2025-08-19	TJAOI	F-ECM	Factor: 158627982656843323510751 / (ECM curve 1, B1=250000, B2=251322390, Edwards Sigma=5732250867390032)
2020-06-18	arnaud	C-PRP	M2249431/22286144327562239158687 : 62D5DC9122A94AE6 PRP: Verified (Factored) PRP without proof (not generated)
2020-06-16	ATH	C-PRP	M2249431/22286144327562239158687 : 62D5DC9122A94AE6 PRP: Verified (Factored) PRP without proof (not generated)
2020-06-16	Summy	F-ECM	Factor: 22286144327562239158687 / (ECM curve 2, B1=50000, B2=5000000)
2019-03-25	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-22	kkmrkkblmbrbk	C-LL	327E7917B49EC28B
2017-01-14	Conductor	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-06	Alexander Dubrovin	NF-PM1	B1=1000000, B2=20000000, E=12
2015-10-27	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-10	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-10	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-03	Joss	NF-PM1	B1=142068
2014-06-01	Joss	NF-PM1	B1=113534
2013-12-04	LaurV	NF	no factor from 2^62 to 2^63
2012-05-04	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-14	Oscar Östlin	NF-PM1	B1=85000, B2=1636250, E=6
2010-11-11	Oscar Östlin	NF-PM1	B1=75011
2010-11-11	Joss	NF-PM1	B1=30000
2010-11-06	Joss	NF-PM1	B1=15000
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61

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