60 593 041 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
969488657	9	29.9	old
19874517449	11	34.2	2008-09-11 02:39:26
2208979902697	13	41.0	2008-09-11 02:39:26
49468643416729	14	45.5	2008-09-30 04:56:23
112446020580079	15	46.7	2008-09-30 04:56:23
397175628705047	15	48.5	2008-09-30 04:56:23
4102445054484409	16	51.9	2012-05-14 06:29:17
34376550492013361	17	54.9	2012-05-14 06:29:20
44533787351568192577	20	65.3	2013-02-03 02:06:15

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 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	2017-11-20	ATH	4D37BE1E12A98ABD	9	21966271	5	3
Verified	2021-03-14	ATH	4D37BE1E12A98ABD	9	47979903	5	3

History

Date	User	Type	Result
2021-12-31	Seth_Tr	NF-PM1	B1=20000000, B2=2001881700
2021-09-14	Seth_Tr	NF-PM1	B1=10000000, B2=1000000000
2021-09-13	Seth_Tr	NF-PM1	B1=10000000, B2=1680000000, E=12
2021-08-06	Seth_Tr	NF	no factor from 2^70 to 2^71
2021-03-14	Kriesel	CERT	PRP Certification Proof certified good
2021-03-14	ATH	C-PRP	M60593041/969488657/19874517449/2208979902697/49468643416729/112446020580079/397175628705047/4102445054484409/34376550492013361/44533787351568192577 : 4D37BE1E12A98ABD PRP proof power = 9 PRP: Verified Proof certified good
2020-01-03	Seth_Tr	NF	no factor from 2^77 to 2^78
2019-12-04	Seth_Tr	NF	no factor from 2^71 to 2^72
2019-12-04	Seth_Tr	NF	no factor from 2^69 to 2^70
2019-12-03	Seth_Tr	NF	no factor from 2^68 to 2^69
2019-06-18	Seth_Tr	NF	no factor from 2^67 to 2^68
2019-06-16	Seth_Tr	NF	no factor from 2^66 to 2^67
2017-11-20	ATH	C-PRP	M60593041/969488657/19874517449/2208979902697/49468643416729/112446020580079/397175628705047/4102445054484409/34376550492013361/44533787351568192577 : 4D37BE1E12A98ABD PRP: Verified PRP without proof (not generated)
2017-11-09	ATH	NF	no factor from 2^76 to 2^77
2017-11-09	ATH	NF	no factor from 2^75 to 2^76
2017-11-09	ATH	NF	no factor from 2^74 to 2^75
2017-11-09	ATH	NF	no factor from 2^73 to 2^74
2017-11-09	ATH	NF	no factor from 2^72 to 2^73
2017-11-09	ATH	NF	no factor from 2^71 to 2^72
2017-11-09	ATH	NF	no factor from 2^70 to 2^71
2017-11-09	ATH	NF	no factor from 2^69 to 2^70
2017-11-09	ATH	NF	no factor from 2^68 to 2^69
2017-11-09	ATH	NF	no factor from 2^67 to 2^68
2017-11-09	ATH	NF	no factor from 2^66 to 2^67
2013-02-03	Never Odd Or Even	F	Factor: 44533787351568192577
2012-05-14	Axon	F	Factor: 34376550492013361
2012-05-14	Axon	F	Factor: 4102445054484409
2008-09-30	markr	F	Factor: 397175628705047
2008-09-30	markr	F	Factor: 112446020580079
2008-09-30	markr	F	Factor: 49468643416729
2008-09-11	Will Edgington	F	Factor: 2208979902697
2008-09-11	Will Edgington	F	Factor: 19874517449

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