Number Theory

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2 total messages Started by Paul Joseph Perrone Mon, 25 Jan 1993 19:28

#189

Author: Paul Joseph Perrone
Date: Mon, 25 Jan 1993 19:28

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I am looking for references or direction in solving the following
problem:

Given a set of prime numbers, whose largest element is less than
1 million. Generate a set of these primes such that NO sum or
difference between any two of these primes is equal to any other
sum or difference between any other combination of these primes.

Is there such a set?

I'd appreciate any comments regarding this.

Email: pjp9q@virginia.edu

Thank you very much.

Paul Perrone

Re: Number Theory

#191

Author: Paul Joseph Perrone
Date: Tue, 26 Jan 1993 02:20

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This is posted in correction of my first posting (#616) regarding
prime number theory. I apologize for my mistatement of the problem,
but here is the correct statement of the problem:

What is the LARGEST set of prime numbers with the following criteria:
      1) No Prime in this set can be greater than 1 million;
      2) No sum nor difference between any two primes in this set
         can equal any other sum or difference between any other
         combinations of primes in this set?

And how can I generate these numbers?

I would appreciate any references or direction that might be given to
me toward this problem. Thanx again to any who might reply to this
posting.

Sincerely,

Paul Perrone

pjp9q@virginia.edu

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