Kvant Math Problem 1532

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kvantmathematicsolympiad

Verified: no
Verdicts: FAIL + FAIL
Solve time: 12m17s
Source on kvant.digital

Problem

Do there exist

  1. 4 distinct natural numbers,
  2. 5 distinct natural numbers,
  3. 5 distinct integers,
  4. 6 distinct integers

such that the sum of any three of them is a prime number?

P. Filevich