31 866 377 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 9 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
191198263	9	27.5	old
446129279	9	28.7	2008-09-09 03:34:52
37958208558337	14	45.1	2008-10-01 03:34:28
79572382817129	14	46.2	2008-10-01 03:34:28
903332249473009	15	49.7	2014-05-08 12:30:49
1857352177926281	16	50.7	2014-06-06 11:34:36
1222046283456639673	19	60.1	2016-01-11 12:37:18
1310040882604277711	19	60.2	2016-01-19 12:20:36
2579703383644624087	19	61.2	2016-04-06 11:35:07

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-07	ATH	8FCCE615CB3565A3	9	20764261	5	3
Verified	2019-11-15	Bommer	8FCCE615CB3565A3	9	5771705	5	3

History

Date	User	Type	Result
2024-06-22	James Heinrich	NF	no factor from 2^68 to 2^72
2024-01-31	masser	NF-PP1	Start=2/7, B1=50000, B2=3900000
2021-12-29	Seth_Tr	NF-PM1	B1=30000000, B2=3001022640
2020-01-03	Seth_Tr	NF	no factor from 2^76 to 2^77
2019-12-30	Seth_Tr	NF-PM1	B1=20000000, B2=2000000000, E=12
2019-12-20	Seth_Tr	NF-PM1	B1=1000000, B2=100000000, E=12
2019-12-13	Seth_Tr	NF-PM1	B1=1000000, B2=100000000, E=12
2019-12-12	Seth_Tr	NF-PM1	B1=500000, B2=50000000, E=12
2019-12-08	Seth_Tr	NF-PM1	B1=200000, B2=20000000, E=12
2019-12-07	Seth_Tr	NF	no factor from 2^69 to 2^70
2019-12-04	Seth_Tr	NF	no factor from 2^70 to 2^71
2019-12-03	Seth_Tr	NF	no factor from 2^68 to 2^69
2019-11-15	Bommer	C-PRP	M31866377/191198263/446129279/37958208558337/79572382817129/903332249473009/1857352177926281/1222046283456639673/1310040882604277711/2579703383644624087 : 8FCCE615CB3565A3 PRP: Verified PRP without proof (not generated)
2019-06-20	Seth_Tr	NF	no factor from 2^67 to 2^68
2019-06-17	Seth_Tr	NF	no factor from 2^66 to 2^67
2017-11-09	ATH	NF	no factor from 2^75 to 2^76
2017-11-08	ATH	NF	no factor from 2^74 to 2^75
2017-11-08	ATH	NF	no factor from 2^73 to 2^74
2017-11-08	ATH	NF	no factor from 2^72 to 2^73
2017-11-08	ATH	NF	no factor from 2^62 to 2^66
2017-11-07	ATH	C-PRP	M31866377/191198263/446129279/37958208558337/79572382817129/903332249473009/1857352177926281/1222046283456639673/1310040882604277711/2579703383644624087 : 8FCCE615CB3565A3 PRP: Verified PRP without proof (not generated)
2017-03-25	Ducho_YYZ	NF	no factor from 2^71 to 2^72
2017-03-25	Ducho_YYZ	NF	no factor from 2^70 to 2^71
2017-03-25	Ducho_YYZ	NF	no factor from 2^69 to 2^70
2017-03-25	Ducho_YYZ	NF	no factor from 2^68 to 2^69
2017-03-25	Ducho_YYZ	NF	no factor from 2^67 to 2^68
2017-03-25	Ducho_YYZ	NF	no factor from 2^66 to 2^67
2016-04-06	TJAOI	F	Factor: 2579703383644624087 / TF: 61-62
2016-01-19	TJAOI	F	Factor: 1310040882604277711 / TF: 60-61
2016-01-11	TJAOI	F	Factor: 1222046283456639673 / TF: 60-61
2014-06-06	TJAOI	F	Factor: 1857352177926281
2014-05-08	TJAOI	F	Factor: 903332249473009
2008-10-01	markr	F	Factor: 79572382817129
2008-10-01	markr	F	Factor: 37958208558337
2008-09-09	Will Edgington	F	Factor: 446129279

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