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This utility finds commonalities in number sequences, by searching through a database.

Because of CPU time constraints, only the first 10,000 members of each sequence are searched. The first 60 hits are returned.

Click on a sequence in each column, then hit **Submit**. For instance, to find prime fibonacci numbers, select **prime**, then **fibonacci**, then **Submit**.

Some searches may take up to 30 seconds

PrimeCompositeSquareCubesTriangularPentagonalFibonacciσ (Sum of Divisors)φ (# less than and prime to n)Number of DivisorsPerfectAbundantDeficientPalindromeRepdigitDigit Sum | |

The selection column on the left has links to the wikipedia pages that describe each sequence.

Beiler, A. H.(1964). *Recreations in the Theory of Numbers. * New York: Dover

Hardy, G. H., Wright, E. M.(1938) *An Introduction to the Theory of Numbers. * London: Oxford University Press

Ore, O.(1948) *Number Theory and its History. *New York: McGraw-Hill

Sloane, N.J.A. (2017) *The On-Line Encyclopedia of Integer Sequences*

Uspenski, J. V., Heaslet, M. A. (1939) *Elementary Number Theory.* New York: McGraw Hill