A051416 Primes whose digits are composite; primes having only {4, 6, 8, 9} as digits.

89, 449, 499, 4649, 4889, 4969, 4999, 6449, 6469, 6689, 6869, 6899, 6949, 8669, 8689, 8699, 8849, 8969, 8999, 9649, 9689, 9949, 44449, 44699, 46489, 46499, 46649, 46889, 48449, 48649, 48869, 48889, 48989, 49499, 49669, 49999, 64489, 64499, 64849, 64969, 66449

Offset: 1

Author

G. L. Honaker, Jr., Jan 17 2000

Keywords

• nonn
• easy
• base

Comments

Primes formed by using only digits 4, 6, 8, 9. Of course, all the terms of this sequence end with 9. - Bernard Schott, Jan 31 2019

Examples

			89 is the smallest composite-digit prime and also the only composite-digit prime whose digits are distinct. - _Bernard Schott_, Jan 31 2019
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..10000
• Chris Caldwell, The Prime Glossary, Composite number
• G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 89
• Index to entries for primes with digits in a given set

Crossrefs

Cf. A019546 (with prime digits), A030096 (with odd digits), A061246 (with square digits), A061371 (composite numbers with prime digits).

Subsequence of A061372 and of A152313.

Programs

Mathematica

Select[Prime@Range[6500], Intersection[IntegerDigits[ # ], {0, 1, 2, 3, 5, 7}] == {} & ] (* Ray Chandler, Mar 04 2007 *)
With[{c = {4, 6, 8, 9}}, Array[Select[Map[FromDigits@ Append[#, 9] &, Tuples[c, {#}]], PrimeQ] &, 4]] // Flatten (* Michael De Vlieger, Feb 02 2019 *)

Extensions

Extended by Ray Chandler, Mar 04 2007