A382198 Smallest integer k with n distinct digits, such that for each digit of k, 2*k*(digit) + 1 is prime.

3, 14, 153, 2169, 48165, 125769, 327174495

Offset: 1

Author

Michel Marcus, Mar 18 2025

Keywords

• nonn
• base
• fini
• full

Comments

See 1st comment of A382127 for an explanation that there cannot be more than 7 terms.

Crossrefs

Subsequence of A382179.

Cf. A382127, A382199.

Programs

PARI

isok(k, n) = my(d=Set(digits(k))); if (#d != n, return(0)); for (i=1, #d, if (!isprime(2*k*d[i]+1), return(0)); ); return(1);
a(n) = my(k=2); while (!isok(k, n), k++); k;