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A164060 Prime p of the form a^b - c^d = p, where a, b, c, d are also primes. 0
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 (list; graph; refs; listen; history; text; internal format)
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 * A113029 A090432 A301918

Adjacent sequences:  A164057 A164058 A164059 * A164061 A164062 A164063

KEYWORD

nonn

AUTHOR

Oleg Zyakun, Aug 12 2009

STATUS

approved

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Last modified June 12 14:32 EDT 2021. Contains 344957 sequences. (Running on oeis4.)