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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). 2
3, 19, 27743, 29663, 101281, 130729, 815351 (list; graph; refs; listen; history; text; internal format)
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: A120563 A182344 A191623 * A092828 A117844 A260371

Adjacent sequences:  A164060 A164061 A164062 * A164064 A164065 A164066

KEYWORD

nonn,base

AUTHOR

Oleg Zyakun, Aug 12 2009

STATUS

approved

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Last modified November 18 05:25 EST 2017. Contains 294853 sequences.