Problem 60967. List primes which are the sum of two consecutive lower primes plus minus one

Problem statement
Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one :
Like this for example, 7 = 3 + 5 - 1, and 11 = 5 + 7 - 1.
In a vector, list such prime numbers lower than a given -input- positive integer m.
Examples
  • m = 50 => p = [7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43];
  • m = 100 => p = [7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 53, 59, 61, 67, 79, 83, 89];
  • m = 200 => p = [7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 53, 59, 61, 67, 79, 83, 89, 101, 113, 127, 131, 151, 163, 173, 197, 199];
Fobidden functions
  • regexp
  • str2num
  • assignin
  • echo
See also
Solve

Solution Stats

62.5% Correct | 37.5% Incorrect
Last Solution submitted on Sep 18, 2025

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