100 523 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1229001636703	13	40.2	old
265722819270463	15	47.9	2010-01-20 22:02:29

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	7983BCBDF18A753C	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	7983BCBDF18A753C	2	32834	1	3
Verified	2020-04-17	Oliver Kruse	454F801F08D360B8	2	3168	5	3
Verified	2022-04-15	LordJulius	454F801F08D360B8	2	28082	5	3

History

Date	User	Type	Result
2022-10-23	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-23	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-22	LordJulius	NF	no factor from 2^64 to 2^65
2022-10-22	LordJulius	NF	no factor from 2^63 to 2^64
2022-10-22	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M100523/1229001636703/265722819270463 : 454F801F08D360B8 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=6552834288000
2020-04-17	Oliver Kruse	C-PRP	M100523/1229001636703/265722819270463 : 454F801F08D360B8 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	M100523/1229001636703/265722819270463 : 7983BCBDF18A753C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100523/1229001636703/265722819270463 : 7983BCBDF18A753C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100523/1229001636703/265722819270463 : 7983BCBDF18A753C PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-01-20	Rob_Dee	F-ECM	Factor: 265722819270463

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