A323579 Primes formed by using the four terminal digits of multidigit primes and whose digits are distinct, i.e., consisting of only digits 1, 3, 7, 9.

3, 7, 13, 17, 19, 31, 37, 71, 73, 79, 97, 137, 139, 173, 179, 193, 197, 317, 379, 397, 719, 739, 937, 971, 1973, 3719, 3917, 7193, 9137, 9173, 9371

Offset

1,1

Comments

There are only 31 terms in this sequence, which is a finite subsequence of A091633 and of A155045.

719 is also the third factorial prime belonging to A055490.

Links

Table of n, a(n) for n=1..31.

Chris K. Caldwell and G. L. Honaker, Jr., 9371, Prime Curios!

Example

1973 and 9371 are respectively the smallest and the largest primes formed with the four digits that can end multidigit primes.

Mathematica

With[{w = Select[Range@ 10, GCD[#, 10] == 1 &]}, Select[FromDigits /@ Permutations[w, Length@ w], PrimeQ]] (* Michael De Vlieger, Feb 03 2019 *)

Crossrefs

Cf. A029743 (with distinct digits), A124674 (with distinct prime digits), A155024 (with distinct nonprime digits but with 0), A155045 (with distinct odd digits), A323387 (with distinct square digits), A323391 (with distinct nonprime digits), A323578 (with distinct digits for which parity of digits alternates).

Sequence in context: A172240 A129901 A067073 * A124273 A038923 A310254

Adjacent sequences: A323576 A323577 A323578 * A323580 A323581 A323582

Keyword

nonn,base,fini,full

Author

Bernard Schott, Jan 24 2019

Status

approved