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Integer Sequence Explorer

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

Prime
Composite
Square
Cubes
Triangular
Pentagonal
Fibonacci
σ (Sum of Divisors)
φ (# less than and prime to n)
Number of Divisors
Perfect
Abundant
Deficient
Palindrome
Repdigit
Digit Sum
Prime
Composite
Square
Cubes
Triangular
Pentagonal
Fibonacci
σ (Sum of Divisors)
φ (# less than and prime to n)
Number of Divisors
Perfect
Abundant
Deficient
Palindrome
Repdigit
Digit Sum

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


References

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

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