A133783 Primes containing only digits from set (1,2,3,4,5,6).

2, 3, 5, 11, 13, 23, 31, 41, 43, 53, 61, 113, 131, 151, 163, 211, 223, 233, 241, 251, 263, 311, 313, 331, 353, 421, 431, 433, 443, 461, 463, 521, 523, 541, 563, 613, 631, 641, 643, 653, 661, 1123, 1151, 1153, 1163, 1213, 1223, 1231, 1321, 1361, 1423, 1433

Offset

1,1

Comments

0-free subset of A036960. "Dice Primes": the ordered sequence of prime numbers whose digits can be generated by successively throwing a regular die with the numbers 1,2,...,6. There are n^6 elements of A057436 with n digits. Restricting to primes, we have 3 with 1 digit, 8 with 2 digits, 23 with 3 digits.

Links

Table of n, a(n) for n=1..52.

Formula

A000040 INTERSECTION A057436. A052382 INTERSECTION A036960.

Mathematica

Select[Prime[Range[250]], Length[Intersection[IntegerDigits[ # ], {7, 8, 9, 0}]] == 0 &] (* Stefan Steinerberger, Jan 03 2008 *)

Crossrefs

Cf. A000040, A036960, A052382, A057436.

Sequence in context: A175565 A262831 A036960 * A036958 A178317 A032024

Adjacent sequences: A133780 A133781 A133782 * A133784 A133785 A133786

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Jan 02 2008

Extensions

More terms from Stefan Steinerberger, Jan 03 2008

Status

approved