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 GapsExplore with Wolfram|Alpha
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References
Sloane, N. J. A. Sequences A051699 and A077019 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Prime DistanceCite this as:
Weisstein, Eric W. "Prime Distance." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PrimeDistance.html