100 501 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
33768337	8	25.0	old
491674545022107113	18	58.8	2010-01-28 18:41:45
15451045243326914782921	23	73.7	2010-01-31 07:46:03
8225833261839371881359579980833	31	102.7	2017-01-20 20:34:21

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	793 / 1566

Estimated T-Level: 32.5 ⓘ

TF below 2^103 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	467DB3F985D0F3FB	4	0	1	3
Verified	2017-09-22	Oliver Kruse	467DB3F985D0F3FB	4	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	467DB3F985D0F3FB	4	38066	1	3
Verified	2020-04-17	Oliver Kruse	0615D4F52DC2F6CC	4	50489	5	3
Verified	2022-04-15	LordJulius	0615D4F52DC2F6CC	4	12948	5	3

History

Date	User	Type	Result
2022-10-22	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-22	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	M100501/33768337/491674545022107113/15451045243326914782921/8225833261839371881359579980833 : 0615D4F52DC2F6CC 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 2^57 to 2^58
2021-12-17	Seth_Tr	NF-PM1	B1=1000000000, B2=12345532399200
2020-04-17	Oliver Kruse	C-PRP	M100501/33768337/491674545022107113/15451045243326914782921/8225833261839371881359579980833 : 0615D4F52DC2F6CC PRP: Verified PRP without proof (small exponent)
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	M100501/33768337/491674545022107113/15451045243326914782921/8225833261839371881359579980833 : 467DB3F985D0F3FB PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M100501/33768337/491674545022107113/15451045243326914782921/8225833261839371881359579980833 : 467DB3F985D0F3FB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100501/33768337/491674545022107113/15451045243326914782921/8225833261839371881359579980833 : 467DB3F985D0F3FB PRP without proof (not generated)
2017-01-20	kkmrkkblmbrbk	F-ECM	Factor: 8225833261839371881359579980833 / (ECM curve 45, B1=250000, B2=25000000)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-01-31	Rob_Dee	F-ECM	Factor: 15451045243326914782921
2010-01-28	Rob_Dee	F-ECM	Factor: 491674545022107113

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