3 418 073 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5434736071	10	32.3	old
32758811633	11	34.9	2008-09-07 19:49:03
112222172737	12	36.7	2008-09-07 19:49:03
5633203060673	13	42.4	2013-12-17 10:41:25
29739203910049	14	44.8	2008-09-30 14:47:41
1045910829158799843713	22	69.8	2019-08-12 20:56:05

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 (Factored)	2017-11-06	Oliver Kruse	C4170D598EC97481	5	3333365	5	3
Verified (Factored)	2017-12-16	kkmrkkblmbrbk	C4170D598EC97481	5	914362	5	3
Verified	2019-08-13	Niels_Mache_Nextcloud	C4170D598EC97481	6	881756	5	3

P-1 factors

Date	Factor	B1	B2
2019-08-12	1045910829158799843713	324710	0

History

Date	User	Type	Result
2022-12-02	LordJulius	NF	no factor from 2^64 to 2^65
2022-12-02	LordJulius	NF	no factor from 2^63 to 2^64
2022-12-02	LordJulius	NF	no factor from 2^62 to 2^63
2022-06-10	Joss	NF-PM1	B1=20508438, B2=12354931050
2022-03-20	Joss	NF-PM1	B1=5000000, B2=1002168090
2022-02-12	Joss	NF-PM1	B1=5000000, B2=141372000
2022-01-10	Joss	NF-PM1	B1=4380000, B2=1042764450
2021-12-17	Joss	NF-PM1	B1=4380000, B2=621034050
2021-11-04	Joss	NF	no factor from 2^71 to 2^72
2021-08-14	Joss	NF	no factor from 2^70 to 2^71
2021-08-14	Joss	NF-PM1	B1=3418073, B2=205084380, E=12
2021-08-10	Joss	NF-PM1	B1=3418073, B2=34180730, E=12
2021-08-04	Joss	NF-PM1	B1=3418073
2021-01-23	Joss	NF	no factor from 2^69 to 2^70
2021-01-21	Joss	NF	no factor from 2^68 to 2^69
2021-01-20	Joss	NF	no factor from 2^67 to 2^68
2021-01-20	Joss	NF	no factor from 2^66 to 2^67
2021-01-20	Joss	NF	no factor from 2^65 to 2^66
2020-04-21	Joss	NF-PM1	B1=752004, B2=34180730, E=12
2019-08-13	Niels_Mache_Nextcloud	C-PRP	M3418073/5434736071/32758811633/112222172737/29739203910049/5633203060673/1045910829158799843713 : C4170D598EC97481 PRP: Verified PRP without proof (not generated)
2019-08-12	Joss	F-PM1	Factor: 1045910829158799843713 / (P-1, B1=324710)
2017-12-16	kkmrkkblmbrbk	C-PRP	M3418073/5434736071/32758811633/112222172737/29739203910049/5633203060673 : C4170D598EC97481 PRP: Verified PRP without proof (not generated)
2017-11-06	Oliver Kruse	C-PRP	M3418073/5434736071/32758811633/112222172737/29739203910049/5633203060673 : C4170D598EC97481 PRP: Verified PRP without proof (not generated)
2013-12-17	TJAOI	F	Factor: 5633203060673
2008-09-30	markr	F	Factor: 29739203910049
2008-09-07	Will Edgington	F	Factor: 112222172737
2008-09-07	Will Edgington	F	Factor: 32758811633

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