Accession Number : ADA182932

Title :   Prime-Rich Row Equations of the 'Special' Array,

Corporate Author : NAVAL SURFACE WEAPONS CENTER SILVER SPRING MD

Personal Author(s) : Sery,R S

PDF Url : ADA182932

Report Date : May 1987

Pagination or Media Count : 15

Abstract : In two previous reports, a method of finding prime-rich equations of the type I=x squared -x+c, c+2N-1, N=1,2,3...was described. It was based on an analysis of a certain array, discovered by the author, which has the property that every column of the array can be described by the Diophantine form (integer solutions only) of the above equation. In addition, the rows of the same array can be represented by the related equation I=x squared +x-r, r=2N-1, and N=1,2,3... A number of prime-rich 'column' equations were found by the method described. This report applies the same method of analysis to show that there are about as many 'row' equations which are richer in primes than Euler's equation, I=x -x+41, as were found for the 'column' equations. Keywords: Prime number theory.

Descriptors :   *NUMBER THEORY, *PRIME NUMBERS, EQUATIONS, NUMBERS, SOLUTIONS(GENERAL), ARRAYS, EULER ANGLES

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE