100 829 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
20165801	8	24.3	old
133519173407	12	37.0	2008-07-26 09:16:55
455856239755545392737	21	68.6	2008-10-16 23:57:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	861 / 1566

Estimated T-Level: 32.7 ⓘ

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	7AD9D1EFDE84C2CE	3	0	1	3
Verified	2017-09-22	Oliver Kruse	7AD9D1EFDE84C2CE	3	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	7AD9D1EFDE84C2CE	3	6503	1	3
Verified	2020-04-17	Oliver Kruse	E79D38BE2DE4B694	3	10722	5	3
Verified	2022-04-15	LordJulius	E79D38BE2DE4B694	3	49461	5	3

History

Date	User	Type	Result
2022-10-25	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-25	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-25	LordJulius	NF	no factor from 2^64 to 2^65
2022-10-25	LordJulius	NF	no factor from 2^63 to 2^64
2022-10-25	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M100829/20165801/133519173407/455856239755545392737 : E79D38BE2DE4B694 PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-17	Seth_Tr	NF-PM1	B1=1000000000, B2=6548899577220
2020-04-17	Oliver Kruse	C-PRP	M100829/20165801/133519173407/455856239755545392737 : E79D38BE2DE4B694 PRP: Verified PRP without proof (small exponent)
2018-11-01	J.R. Allen	NF	no factor from 2^59 to 2^60
2018-11-01	J.R. Allen	NF	no factor from 2^58 to 2^59
2018-11-01	J.R. Allen	NF	no factor from 2^57 to 2^58
2018-10-25	J.R. Allen	NF	no factor from 2^52 to 2^57
2017-11-06	kkmrkkblmbrbk	C-PRP	M100829/20165801/133519173407/455856239755545392737 : 7AD9D1EFDE84C2CE PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M100829/20165801/133519173407/455856239755545392737 : 7AD9D1EFDE84C2CE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100829/20165801/133519173407/455856239755545392737 : 7AD9D1EFDE84C2CE PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-10-16	-Anonymous-	F-ECM	Factor: 455856239755545392737
2008-07-26	J Feitsma	F	Factor: 133519173407

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