A118097 Primes of form 2 + odd prime to odd prime power.

29, 127, 24391, 161053, 357913, 571789, 1442899, 5177719, 18191449, 30080233, 73560061, 80062993, 118370773, 127263529, 131872231, 318611989, 344472103, 440711083, 461889919, 590589721, 756058033, 865523179, 1095912793

Offset

1,1

Comments

A prime p for which p + 2 is prime is in A001359 Lesser of twin primes. This sequence is a generalization of that, but with prime to prime power substituting for prime (and excluding 2 from base and exponent).

Links

Table of n, a(n) for n=1..23.

Formula

{p^q + 2 where p is in A065091 and q is in A065091}.

Example

a(1) = 29 = 3^3 + 2.
a(2) = 127 = 5^3 + 2.
a(3) = 24391 = 29^3 + 2.
a(4) = 161053 = 11^5 + 2.
a(5) = 357913 = 71^3 + 2.
a(6) = 571789 = 83^3 + 2.
1174711139839 is in this sequence because 1174711139839 = 53^7 + 2 is prime.

Crossrefs

Cf. A000040, A000961, A001359, A030078, A050997, A053810, A065091.

Sequence in context: A157145 A142438 A342823 * A188764 A048636 A044361

Adjacent sequences: A118094 A118095 A118096 * A118098 A118099 A118100

Keyword

easy,nonn

Author

Jonathan Vos Post, May 11 2006

Extensions

Extended by Ray Chandler, Oct 28 2008

Status

approved