2 269 Exponent Status

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
5198395892876421104415109549087087419559080537214372111	55	181.8	2009-04-21 13:55:20

ECM

Estimated T-Level: 58.2 ⓘ

TF below 2^188 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	4B20	Unknown,(aka U)
Factored	George Woltman	9F5B4420360A4B20	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	9F5B4420360A4B20	Mac,John Sweeney,v1.4,(aka J3)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	1B64456173A50453	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1B64456173A50453	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1B64456173A50453	1	2086	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	86E8DF34AB1B7FB9	1	2023	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	86E8DF34AB1B7FB9	1	1980	5	3

History

Date	User	Type	Result
2025-04-04	masser	NF-PP1	Start=80/47, B1=4400000000, B2=4395600000000
2024-02-03	Wentao Huang	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 86E8DF34AB1B7FB9
2022-11-09	BloodIce	NF-PM1	B1=1000000000000, B2=1000611346835100
2022-10-03	BloodIce	NF-PM1	B1=100000000000, B2=15660862176960
2022-08-29	BloodIce	NF-PM1	B1=10000000000, B2=6556348965296130
2020-09-24	Bruno Victal	NF-PM1	B1=100000000000, B2=493027485552607806
2020-04-17	Oliver Kruse	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 86E8DF34AB1B7FB9
2017-12-07	ATH	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 1B64456173A50453
2017-10-02	kkmrkkblmbrbk	C-PRP	M2269/5198395892876421104415109549087087419559080537214372111 : 1B64456173A50453
2017-09-21	Oliver Kruse	C-PRP	M2269/known_factors : 1B64456173A50453
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=10000000000, B2=500000000000, E=12
2009-04-21	eteo	F-ECM	Factor: 5198395892876421104415109549087087419559080537214372111
2005-04-02	garyfu	NF	no factor TF: 1-59
2002-12-25	-anonymous-	NF-PM1	B1=4290000000
2002-11-02	Alex Kruppa	NF	no factor TF: 1-57
2002-09-14	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-03	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2001-05-27	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-08-01	-anonymous-	NF	no factor TF: 1-56
2000-05-05	-anonymous-	NF	no factor TF: 1-52
2000-02-01	-anonymous-	NF	no factor TF: 54-55
1999-09-14	-anonymous-	NF	no factor TF: 50-53

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