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

Author

Enoch Haga, Feb 13 2000

Keywords

• easy
• nonn
• base

Comments

Leading zeros are not allowed in the rearranged number.

Examples

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

References

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

Crossrefs

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

Extensions

Corrected and extended by Jens Kruse Andersen, Dec 01 2006