A053736 Run through primes p; if the digits of p*q (where q is the prime following p) can be rearranged to form one or more primes r, append these primes r to the sequence.

53, 431, 233, 347, 743, 1471, 1741, 7411, 1571, 5171, 5711, 7151, 1367, 1637, 3167, 3617, 3671, 3761, 6173, 6317, 1249, 1429, 4129, 4219, 9241, 9421, 1237, 1327, 1723, 2137, 2371, 2713, 2731, 3217, 3271, 7213, 7321, 5399, 5939, 9539

Offset

1,1

Comments

Leading zeros are not allowed in the rearranged number.

References

C. A. Pickover, "Vampire numbers," chapter 30 of Keys to Infinity. NY: Wiley, 1995. Pages 227-231

Links

Table of n, a(n) for n=1..40.

Example

7*11=77, but no prime rearrangements are possible; 11*13 is 143, whose digits can be rearranged to 431, a prime.

Crossrefs

A053652 gives the entries sorted and with duplicates removed. Cf. A014575, A053652.

Sequence in context: A074836 A142851 A185239 * A181968 A261537 A142209

Adjacent sequences: A053733 A053734 A053735 * A053737 A053738 A053739

Keyword

easy,nonn,base

Author

Enoch Haga, Feb 13 2000

Extensions

Corrected and extended by Jens Kruse Andersen, Dec 01 2006

Status

approved