100 459 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
4018361	7	21.9	old
504285258608296667039	21	68.8	2010-01-28 16:33:40

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	40099C75589C98C5	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	40099C75589C98C5	2	51985	1	3
Verified	2020-04-17	Oliver Kruse	0B5FB45B513459CE	2	8208	5	3
Verified	2022-04-15	LordJulius	0B5FB45B513459CE	2	26953	5	3

History

Date	User	Type	Result
2022-10-13	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-13	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-13	LordJulius	NF	no factor from 2^64 to 2^65
2022-04-15	LordJulius	C-PRP	M100459/4018361/504285258608296667039 : 0B5FB45B513459CE PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-13	LordJulius	NF	no factor from 2^62 to 2^63
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=40962536875260
2020-04-17	Oliver Kruse	C-PRP	M100459/4018361/504285258608296667039 : 0B5FB45B513459CE 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
2017-10-13	kkmrkkblmbrbk	C-PRP	M100459/4018361/504285258608296667039 : 40099C75589C98C5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100459/4018361/504285258608296667039 : 40099C75589C98C5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100459/4018361/504285258608296667039 : 40099C75589C98C5 PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-01-28	Rob_Dee	F-ECM	Factor: 504285258608296667039

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