Bidimensional sieve of Eratosthenes

This page allows viewing a “bidimensional” version of the sieve of Eratosthenes applied to a given number. Differently from its classic version, the result is shown as a two-way table, in which rows and columns are labeled with all numbers up to the given one, with their sum at intersections; like in the traditional sieve of Eratosthenes, all composite numbers are excluded. Clicking on a cell, all other ones containing the same sum are highlighted. The table can also be exported in different format, so it can be analyzed more deeply.

This tool has been made in order to automate the generation of some arithmetic tables sent to us by one of our readers, Francesco Di Noto, who, together with Michele Nardelli, has founded an amateur group for mathematical research upon prime numbers. We hope that, like them, also other researchers can benefit from the use of this tool.

Number N:
Hide composite numbers
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Table portion to be shown:


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