100 823 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
43757183	8	25.4	old
32718508623684503	17	54.9	2010-02-07 08:54:05
37591882852263463	17	55.1	2008-08-26 20:11:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	274 / 1566

Estimated T-Level: 30.9 ⓘ

TF below 2^98 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	4DBBFB943B2C59F2	3	0	1	3
Verified	2017-09-22	Oliver Kruse	4DBBFB943B2C59F2	3	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	4DBBFB943B2C59F2	3	13264	1	3
Verified	2020-04-17	Oliver Kruse	E077C03AFFB04E89	3	40963	5	3
Verified	2022-04-15	LordJulius	E077C03AFFB04E89	3	100649	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	M100823/43757183/32718508623684503/37591882852263463 : E077C03AFFB04E89 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
2021-12-19	Seth_Tr	NF-PM1	B1=1000000000, B2=6734439121410
2020-04-17	Oliver Kruse	C-PRP	M100823/43757183/32718508623684503/37591882852263463 : E077C03AFFB04E89 PRP: Verified PRP without proof (small exponent)
2018-12-03	ANONYMOUS	NF	no factor from 2^60 to 2^61
2018-12-03	ANONYMOUS	NF	no factor from 2^59 to 2^60
2018-12-03	ANONYMOUS	NF	no factor from 2^58 to 2^59
2018-12-03	ANONYMOUS	NF	no factor from 2^57 to 2^58
2017-11-06	kkmrkkblmbrbk	C-PRP	M100823/43757183/32718508623684503/37591882852263463 : 4DBBFB943B2C59F2 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M100823/43757183/37591882852263463/32718508623684503 : 4DBBFB943B2C59F2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100823/43757183/37591882852263463/32718508623684503 : 4DBBFB943B2C59F2 PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-07	Rob_Dee	F-ECM	Factor: 32718508623684503
2008-08-26	-Anonymous-	F-ECM	Factor: 37591882852263463

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