A131648 - OEIS

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A131648

Primes > 100 in which every multi-digit substring is also prime.

113, 131, 137, 173, 179, 197, 311, 313, 317, 373, 379, 419, 431, 479, 613, 617, 619, 673, 719, 797, 971, 1373, 3137, 3797, 6131, 6173, 6197, 9719

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OFFSET

1,1

COMMENTS

Minimum number of digits is taken to be 3 as all two-digit primes would be trivial members.

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

9719 is a member becauase 97, 71, 19, 971, 719, 9719 are all primes.

MATHEMATICA

Select[Prime[Range[26, 1300]], And@@PrimeQ[Flatten[Table[FromDigits/@ Partition[ IntegerDigits[#], n, 1], {n, 2, IntegerLength[#]-1}]]]&] (* Harvey P. Dale, Nov 03 2012 *)

CROSSREFS

Cf. This sequence is a subsequence of A069488 - Primes > 100 in which every substring of length 2 is also prime.

Sequence in context: A060591 A214847 A069488 * A355856 A180441 A378415

Adjacent sequences: A131645 A131646 A131647 * A131649 A131650 A131651

KEYWORD

base,fini,full,nonn

AUTHOR

Tanya Khovanova, Sep 09 2007

STATUS

approved