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Prime Distance


PrimeDistance

The prime distance pd(n) of a nonnegative integer n is the absolute difference between n and the nearest prime. It is therefore true that pd(p)=0 for primes p. The first few values for n=0, 1, 2, ... are therefore 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, ... (OEIS A051699). The values of n having prime distances of 0, 1, 2, 3, ... are 2, 1, 0, 26, 93, 118, 119, 120, 531, 532, 897, ... (OEIS A077019).


See also

Nearest Prime, Prime Difference Function, Prime Gaps

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References

Sloane, N. J. A. Sequences A051699 and A077019 in "The On-Line Encyclopedia of Integer Sequences."

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Prime Distance

Cite this as:

Weisstein, Eric W. "Prime Distance." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeDistance.html

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