A164077 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 (A164078) is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime (A164079).

3253, 24517, 78157, 366103, 548677, 705097, 1030429, 1229257, 5735467, 6438391, 12221371, 17498881, 19618243, 74084347, 118370899, 263374849, 270840151, 286199371, 410180599, 418195621, 418719781, 529483321, 565609411, 698388391

Offset

1,1

Links

Table of n, a(n) for n=1..24.

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: A270799 A031735 A144936 * A183656 A043606 A135134

Adjacent sequences: A164074 A164075 A164076 * A164078 A164079 A164080

Keyword

nonn,base

Author

Oleg Zyakun, Aug 12 2009

Extensions

Extended and edited by Charles R Greathouse IV, Apr 27 2010

Status

approved