A164060 Prime p of the form a^b - c^d = p, where a, b, c, d are also primes.

2, 3, 5, 7, 17, 19, 23, 41, 79, 89, 101, 103, 113, 137, 139, 149, 199, 211, 233, 239, 257, 271, 281, 311, 353, 367, 401, 521, 761, 809, 929, 953, 1087, 1217, 1303, 1327, 1361, 1433, 1553, 1721, 1759, 1879, 1951, 1999, 2039, 2069, 2081, 2179, 2417, 2441, 2777

Offset

1,1

Links

Table of n, a(n) for n=1..51.

Example

3^3 - 5^2 = 2; 2^7 - 5^3 = 3; 3^2 - 2^2 = 5; 2^5 - 5^2 = 7;

Mathematica

Take[Select[Union[Abs[#[[1]]^#[[2]]-#[[3]]^#[[4]]]&/@Tuples[Prime[ Range[ 30]], 4]], PrimeQ], 60] (* Harvey P. Dale, Jan 14 2014 *)

Crossrefs

Sequence in context: A276141 A214588 A089968 * A356405 A113029 A090432

Adjacent sequences: A164057 A164058 A164059 * A164061 A164062 A164063

Keyword

nonn

Author

Oleg Zyakun, Aug 12 2009

Status

approved