Permutable prime

Permutable prime
Conjectured no. of termsInfinite
First terms2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199
Largest known term(108177207-1)/9
OEIS index
  • A003459
  • Absolute primes (or permutable primes): every permutation of the digits is a prime.

A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. H. E. Richert, who is supposedly the first to study these primes, called them permutable primes,[1] but later they were also called absolute primes.[2]

  1. ^ Richert, Hans-Egon (1951). "On permutable primtall". Norsk Matematiske Tiddskrift. 33: 50–54. Zbl 0054.02305.
  2. ^ Bhargava, T.N.; Doyle, P.H. (1974). "On the existence of absolute primes". Math. Mag. 47 (4): 233. doi:10.1080/0025570X.1974.11976408. Zbl 0293.10006.