A164065 Prime p3 of the sequence A164063: a^b - c^d = p1 (A164063), where a, b, c, d are primes and a + b + c + d = p2 (A164064), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime.

2753, 3323, 313211, 31327, 217313, 21773, 77213

Offset

1,1

Links

Table of n, a(n) for n=1..7.

Example

2^7 - 5^3 = 3, 2 + 7 + 5 + 3 = 17, conc (abcd) = 2753; 3^3 - 2^3 = 19, 3 + 3 + 2 + 3 = 11, conc (abcd) = 3323; 31^3 - 2^11 = 27743, 31 + 3 + 2 + 11 = 47, conc (abcd) = 313211; 31^3 - 2^7 = 29663, 31 + 3 + 2 + 7 = 43, conc (abcd) = 31327;

Crossrefs

Sequence in context: A122107 A050268 A117081 * A014487 A260978 A043665

Adjacent sequences: A164062 A164063 A164064 * A164066 A164067 A164068

Keyword

nonn,base

Author

Oleg Zyakun, Aug 12 2009

Status

approved