A164079 Prime p3 of the sequence A164077: a^b + c^d = p1 (A164077), where a, b, c, d are primes and a + b + c + d = p2 (A164078), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime.

5527, 29327, 2557, 213713, 219293, 27893

Offset

1,1

Links

Table of n, a(n) for n=1..6.

Example

5^5 + 2^7 = 3253, 5 + 5 + 2 + 7 = 19, conc (abcd) = 5527; 29^3 + 2^7 = 24517, 29 + 3 + 2 + 7 = 41, conc (abcd) = 29327; 2^5 + 5^7 = 78157, 2 + 5 + 5 + 7 = 19, conc (abcd) = 2557; 2^13 + 71^3 = 366103, 2 + 13 + 71 + 3 = 89, conc (abcd) = 89; 213713

Crossrefs

Sequence in context: A025289 A025307 A068269 * A278012 A255100 A031795

Adjacent sequences: A164076 A164077 A164078 * A164080 A164081 A164082

Keyword

nonn,base

Author

Oleg Zyakun, Aug 12 2009

Status

approved