smslca

Sorry if I am posting in the wrong section. I do not get where to post this query in the forum.
So I am posting it here.

I am working on factorization of prime product from 5 months. As I have no partner and being an average student It has been 5 months to get a formula and verifying it.

I have a formula to factorize large numbers like 244,691,047,451 into two factors in a single step. I cant really promise as this work is not already there. But as internet as a limit , I have searched it I found no traces of my work. Also I wont say It is the best work for factorization at present. Because my work is not checked by anyone and I got not mathematics lecturer neat to me and who can understand me. And the work now is in an uncomplete state to give it to websites like arxiv.

How large the number may be the numbers following the pattern of above number is only factorized in single step. Others need two, three and so on to factorize . What I mean is some times large numbers like above(244,691,047,451) require single step to factorize and small numbers like (581) require 3 steps to factorize.

But by doing further work on it can simplify other numbers into single step. May be As being a student, having my subjects to study or may be due to weary in the persistent work, I think Now need help of some one talented like teachers or professors or researchers or
students, I meant anyone.

So I am free now, For masters electronics and communication student I have applied to colleges in USA, So If I am qualified in visa interview , I should go to USA in the month of August. I said it because I want help before August.

As I believe there will be people from India browsing this forum. So I request anyone from INDIA, Andhra Pradesh, could help me.

My name is manikanta, I am from INDIA, Andhra Pradesh, West Godavari District , Eluru.
contacts: Landline : 08812-221125, mobile : 8121237097, 9440836462.
U can surely catch me up on landline, But Iam not sure about mobile.

CRGreathouse

How about a number like 2039443856819. Can you factor that? What about smaller numbers like 2649063941 or 3150673?

And is this done by hand or on a computer?

Well the good news is that a factorization method is testable. If I give you a number and you find a factor, I can test if it's right very easily.

How long does a single step take? And how many steps might a number need to factor, in the worst case? Your example of 244,691,047,451 is a very simple one to factor -- I could do it by hand, in a pinch.

We'd need to know more about your method before giving recommendations.

My brother stayed in Andhra Pradesh for half a year (studied at the University of Hyderabad for a semester).

smslca

2039443856819 requires 34344 loops.-- by comp
2649063941 requires 2212 loops -- by comp
349680 requires 0 loops--i.e can be done by hand.

Yes it can be done by hand if it has 0 loops to go. Because its factors are the solutions of a simple quadratic equation.
for other above numbers, if i can do some modifications / any further new idea, can decrease its loops.

since till I do not know which numbers will get 0 loops Iam using pari to factorize and then checking my results, If I have to do it by hand.
If I have to do it by my program no need to use pari, but we have to wait until it finishes it loops and displays the result.

I have noticed that, multiplying large numbers with small numbers like 91,77,13 etc , will changes their loops to '0'.
Since I do not understand why is that happening , I can do it only for 10 examples.

Actually It depends on the no of loops. If we can decrease it then it would be instant and can be done by hand.

Dont misunderstand me. I would like to meet the person in andhrapradesh(any where), India personally to discuss about it.
It is not because I dont want to get it public. Its easy and simple to learn my work, but it takes lot of time to express on the internet.
And it is easy to discuss with the person near to u rather so far.

Is he still there. can he help me.

smslca

further more it can factorize 56731475920891=7532027 * 7532033 in one single step.

CRGreathouse

I assume it's a Fermat-like method, then, based on finding a representation as a difference of squares.

CRGreathouse

He's not there at the moment, but it wouldn't help you if he was -- he's not a mathematician.