Endomorphisms and Factoring

manasi · 2017-06-28, 22:47

1. I need to find out a program that only deals in machine level 0s and 1s. What I mean is unlike C++, Java, etc...decimals are not converted to binary but it is a program where every number dealing is binary. There should be no fixed integer range so large blocks can be dealt with in a good way.

2. So, the supposed mersenne prime to binary. The about to be tested primes(P) are also in binary.

Then, one uses endomorphisms [f][/P] which makes all the P appearances in the block supposed Mersenne prime to 000 s of P length. Then another endomorphism just performs subtraction right from the first or second place below 1's in the block. This can be created as a function.

I am just looking for a program that handles large binary numbers. I am also open to knowing more about endomorphisms and factoring if there exists such theory.

chalsall · 2017-06-28, 22:54

Just putting this out there for consideration...

Do any other regular Mersenne Forum members find it a bit odd that there are many new participants who get the "lingo", but ask really stupid questions?

science_man_88 · 2017-06-28, 23:03

Quote:

Originally Posted by chalsall

Just putting this out there for consideration...

Do any other regular Mersenne Forum members find it a bit odd that there are many new participants who get the "lingo", but ask really stupid questions?

Could be my fault, I think I once posted a link to the forum, on a youtube comment, on a numberphile video.

paulunderwood · 2017-06-28, 23:04

Quote:

Originally Posted by manasi

1. I need to find out a program that only deals in machine level 0s and 1s. What I mean is unlike C++, Java, etc...decimals are not converted to binary but it is a program where every number dealing is binary.

Pari/GP has a function called binary(). For example:

Code:

? n=2^17-1;
? binary(n)
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

manasi · 2017-06-28, 23:05

That is a rude message. Is it not? If my question is that trivial to you, then you could have done the honours of answering it. Did you get my post?

manasi · 2017-06-28, 23:08

Thank You. I will check out PARI/GP.

science_man_88 · 2017-06-28, 23:36

Quote:

Originally Posted by manasi

Thank You. I will check out PARI/GP.

https://en.wikipedia.org/wiki/Machine_code might also be something to read.

manasi · 2017-06-28, 23:48

@science man: That is not what I am saying, people use high level language. It converts everything to machine code. My problem is with HLLs and their fixd integer range which makes prime factoring or mathematical computations difficult. So I am looking for a modern low level program where the number system is binary and like machine language , since large amounts of bits and bytes are stored, working with them is simple. Prime factoring would be very comfortable with elementary computations.

chalsall · 2017-06-28, 23:50

Quote:

Originally Posted by manasi

That is a rude message. Is it not? If my question is that trivial to you, then you could have done the honours of answering it. Did you get my post?

A very wise man once told me that I didn't need to bat at every ball.

He also wisely told me that sometimes you simply touch the ball to cause a little trouble, when it was worth the effort.

RIP ROK.

paulunderwood · 2017-06-28, 23:55

Quote:

Originally Posted by manasi

@science man: That is not what I am saying, people use high level language. It converts everything to machine code. My problem is with HLLs and their fixd integer range which makes prime factoring or mathematical computations difficult. So I am looking for a modern low level program where the number system is binary and like machine language , since large amounts of bits and bytes are stored, working with them is simple. Prime factoring would be very comfortable with elementary computations.

If you have linux you could use the bc language:

Code:

bc 1.06.95
Copyright 1991-1994, 1997, 1998, 2000, 2004, 2006 Free Software Foundation, Inc.
This is free software with ABSOLUTELY NO WARRANTY.
For details type `warranty'. 
ibase=2
obase=2
101010*101001
11010111010

I think you can get it for Windows and iPhone

Dubslow · 2017-06-29, 00:01

Quote:

Originally Posted by manasi

@science man: That is not what I am saying, people use high level language. It converts everything to machine code. My problem is with HLLs and their fixd integer range which makes prime factoring or mathematical computations difficult. So I am looking for a modern low level program where the number system is binary and like machine language , since large amounts of bits and bytes are stored, working with them is simple. Prime factoring would be very comfortable with elementary computations.

Do you mean something like GMP?

Yes, every language still fundamentally works in binary, but typically in fixed-width binary. GMP is a library for C (and therefore all its derivatives) that allows for arbitrary-size integers. It's very common in big number prime testing and factorization code.

https://en.wikipedia.org/wiki/List_o...metic_software

A lot of the languages and software packages in the above list use GMP under the hood.

2017-06-28, 22:47	#1
manasi Jun 2017 D₁₆ Posts	Endomorphisms and Factoring 1. I need to find out a program that only deals in machine level 0s and 1s. What I mean is unlike C++, Java, etc...decimals are not converted to binary but it is a program where every number dealing is binary. There should be no fixed integer range so large blocks can be dealt with in a good way. 2. So, the supposed mersenne prime to binary. The about to be tested primes(P) are also in binary. Then, one uses endomorphisms [f][/P] which makes all the P appearances in the block supposed Mersenne prime to 000 s of P length. Then another endomorphism just performs subtraction right from the first or second place below 1's in the block. This can be created as a function. I am just looking for a program that handles large binary numbers. I am also open to knowing more about endomorphisms and factoring if there exists such theory. Last fiddled with by manasi on 2017-06-28 at 23:02

2017-06-28, 22:54	#2
chalsall If I May "Chris Halsall" Sep 2002 Barbados 37×263 Posts	Just putting this out there for consideration... Do any other regular Mersenne Forum members find it a bit odd that there are many new participants who get the "lingo", but ask really stupid questions?

2017-06-28, 23:05	#5
manasi Jun 2017 D₁₆ Posts	That is a rude message. Is it not? If my question is that trivial to you, then you could have done the honours of answering it. Did you get my post?

2017-06-28, 23:08	#6
manasi Jun 2017 1101₂ Posts	Thank You. I will check out PARI/GP.

2017-06-28, 23:48	#8
manasi Jun 2017 13 Posts	@science man: That is not what I am saying, people use high level language. It converts everything to machine code. My problem is with HLLs and their fixd integer range which makes prime factoring or mathematical computations difficult. So I am looking for a modern low level program where the number system is binary and like machine language , since large amounts of bits and bytes are stored, working with them is simple. Prime factoring would be very comfortable with elementary computations.