2005Zenodo (CERN European Organization for Nuclear Research)Open access

Calculating The Smarandache Numbers

Jon Perry

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Abstract

The Smarandache Numbers are: 1,2,3,4,5,3,7,4,6,5,11,4,13,7,5,6,17,6,19,5,7, 11 ,23,4,1 0, 1, 3, 9,7,29,5,31,8,11,17,7,6,37, 19,13,5,41,7,43,11,6,23,47,6,14,10,17,13,53,9,11 ,7, 19,29,59,5,61,31,7,8,13,11,67,17, 23,7,71,6,73,37,10,19,11,13,79,6,9,41,83,7, ... and defined as the smallest integer m such that n divides mt Finding the exact value of a(n) is an open problem, and this paper presents an effective algorithm for detennining the value of a(n).

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The Smarandache Numbers are: 1,2,3,4,5,3,7,4,6,5,11,4,13,7,5,6,17,6,19,5,7, 11 ,23,4,1 0, 1, 3, 9,7,29,5,31,8,11,17,7,6,37, 19,13,5,41,7,43,11,6,23,47,6,14,10,17,13,53,9,11 ,7, 19,29,59,5,61,31,7,8,13,11,67,17, 23,7,71,6,73,37,10,19,11,13,79,6,9,41,83,7, ... and defined as the smallest integer m such that n divides mt Finding the exact value of a(n) is an open problem, and this paper presents an effective algorithm for detennining the value of a(n).

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Available abstract

The Smarandache Numbers are: 1,2,3,4,5,3,7,4,6,5,11,4,13,7,5,6,17,6,19,5,7, 11 ,23,4,1 0, 1, 3, 9,7,29,5,31,8,11,17,7,6,37, 19,13,5,41,7,43,11,6,23,47,6,14,10,17,13,53,9,11 ,7, 19,29,59,5,61,31,7,8,13,11,67,17, 23,7,71,6,73,37,10,19,11,13,79,6,9,41,83,7, ... and defined as the smallest integer m such that n divides mt Finding the exact value of a(n) is an open problem, and this paper presents an effective algorithm for detennining the value of a(n).

Key concepts: Mathematics

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