Problem 60940. Find the first occurence of a given gap between two consecutive prime numbers

Problem statement
Given a gap Δ= p' - p between the two consecutive prime numbers p and p', find its first occurence, f.
Examples
  • If , f=2, since 5 - 3 = 2, and 3 is the 2nd prime;
  • If , f=4, since 11 - 7 = 4, and 7 is the 4th prime;
  • If , f=9, since 29 - 23 = 6, and 23 is the 9th prime;
If Δ neither equals an even positive integer nor equals 1 your function should return the empty set : f = [];
See also
Solve

Solution Stats

41.67% Correct | 58.33% Incorrect
Last Solution submitted on Aug 17, 2025

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