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A164063 Prime p1 of the form a^b - c^d = p1, where a, b, c, d are primes and a + b + c + d = p2, where p2 (A164064) is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime (A164065). +0
3
3, 19, 27743, 29663, 101281, 130729, 815351 (list; graph; listen)
OFFSET

1,1

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: A114301 A098796 A120563 this_sequence A117844 A067607 A013332

Adjacent sequences: A164060 A164061 A164062 this_sequence A164064 A164065 A164066

KEYWORD

nonn

AUTHOR

Oleg Zyakun (opz(AT)list.ru), Aug 12 2009

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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