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A182474 Primes of the form p^q - q, where p and q are primes. 1
2, 5, 7, 23, 47, 167, 359, 839, 1367, 1847, 2207, 3719, 5039, 7919, 8179, 10607, 11447, 16127, 17159, 19319, 29927, 36479, 44519, 49727, 54287, 57119, 66047, 85847, 97967, 113567, 128879, 177239, 196247, 201599, 218087, 241079, 273527, 292679, 323759, 344567 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..40.

FORMULA

Union of A049002 and A057678.

EXAMPLE

8179 = 2^13 - 13

MATHEMATICA

nn = 600000; mx = Floor[Log[2, nn]]; t2 = Select[Table[2^n - n, {n, Prime[Range[PrimePi[mx]]]}], PrimeQ]; mx = Floor[Sqrt[nn]]; tp = Select[Table[n^2 - 2, {n, Prime[Range[PrimePi[mx]]]}], PrimeQ]; Union[t2, tp] (* T. D. Noe, May 01 2012 *)

Module[{upto=350000, r}, r=Floor[Sqrt[upto+2]]; Select[Union[Select[ (#1[[1]]^#1[[2]]-#1[[2]]&)/@Tuples[Prime[Range[r]], 2], PrimeQ]], #1<=upto&]] (* Harvey P. Dale, Dec 07 2012 *)

CROSSREFS

Cf. A049002 (primes of the form p^2 - 2).

Cf. A057678 (primes of the form 2^p - p).

Sequence in context: A243595 A103807 A099228 * A106018 A188499 A215535

Adjacent sequences:  A182471 A182472 A182473 * A182475 A182476 A182477

KEYWORD

nonn,easy

AUTHOR

Alex Ratushnyak, May 01 2012

STATUS

approved

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Last modified April 15 20:40 EDT 2021. Contains 342977 sequences. (Running on oeis4.)