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  • Reciprocal of positive integers by Mostafa Yacoub Abdellatif Mahmoud book cover
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Reciprocal of positive integers

by Mostafa Yacoub Abdellatif Mahmoud

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A number-theory paper on reciprocals, primes, and composites

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AlbakiReads Editorial

A number-theory paper on reciprocals, primes, and composites

This paper examines a proposed relationship between sums of reciprocals of positive integers and sums of positive integers connected to prime numbers. Its central idea is a formula the author says links primes with composite numbers in an “Array of odd numbers” (Array PTBP), considered across ranges extending toward infinity. The description positions the work around number-theoretic relationships and infinite ranges; it does not provide further detail about the formula’s derivation or results.

Good fit for readers who enjoy

  • Readers interested in number theory and prime-related questions
  • Those exploring mathematical work on infinite sums and odd-number arrays

Themes

Reciprocals of positive integersPrime and composite numbersInfinite rangesNumber theory

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Book overview

  • Reciprocal of positive integers:
In this paper, we will discover the relation between the summation of the reciprocal of positive integers and the summation of positive integers that depends on prime numbers based on my discovered formula that connects prime numbers to composite numbers that belong to the Array of odd numbers (Array PTBP) Within ranges that extend to infinity.
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