100 049 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
6078777143	10	32.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	900 / 1566

Estimated T-Level: 32.9 ⓘ

TF below 2^104 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	2017-09-21	Oliver Kruse	D1CE1F771C567C5F	1	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	D1CE1F771C567C5F	1	22155	1	3
Verified	2020-04-17	Oliver Kruse	44E92286ACDE5C09	1	65894	5	3
Verified	2024-02-03	Wentao Huang	44E92286ACDE5C09	1	35047	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M100049/6078777143 : 44E92286ACDE5C09 PRP: Verified PRP without proof (small exponent)
2022-10-09	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-09	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-09	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-08	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-08	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-08	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-08	LordJulius	NF	no factor from 2^60 to 2^61
2022-03-26	LordJulius	NF	no factor from 2^59 to 2^60
2022-03-26	LordJulius	NF	no factor from 2^58 to 2^59
2022-03-26	LordJulius	NF	no factor from 2^57 to 2^58
2020-04-17	Oliver Kruse	C-PRP	M100049/6078777143 : 44E92286ACDE5C09 PRP: Verified PRP without proof (small exponent)
2018-12-18	Joss	NF-PM1	B1=2000000000, B2=200000000000, E=12
2018-12-14	Joss	NF-PM1	B1=2000000000
2018-12-13	Joss	NF-PM1	B1=200000000
2017-10-28	BloodERazor	NF	no factor from 2^61 to 2^62
2017-10-28	BloodERazor	NF	no factor from 2^60 to 2^61
2017-10-28	BloodERazor	NF	no factor from 2^59 to 2^60
2017-10-28	BloodERazor	NF	no factor from 2^58 to 2^59
2017-10-28	BloodERazor	NF	no factor from 2^57 to 2^58
2017-10-28	BloodERazor	NF	no factor from 2^33 to 2^57
2017-10-13	kkmrkkblmbrbk	C-PRP	M100049/6078777143 : D1CE1F771C567C5F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100049/6078777143 : D1CE1F771C567C5F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100049/6078777143 : D1CE1F771C567C5F PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12

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