A113243 -id:A113243 - cp's OEIS frontend

A113244 Prime differences of tetranacci numbers.

2, 3, 7, 11, 13, 41, 79, 107, 179, 193, 293, 397, 769, 1489, 2099, 2843, 2857, 5507, 5521, 9181, 10463, 10663, 10667, 19079, 39619, 76423, 126743, 146539, 147283, 147311, 281081, 283949, 547229, 771073, 3919171, 3919543, 3919943, 7555879, 7555927, 10644589, 14564477

Offset: 1

Jonathan Vos Post, Oct 19 2005; corrected Oct 20 2005

A113188-A113194 deal with difference sets of Fibonacci numbers and Lucas numbers and primes in those difference sets. A113238-A113239 deal with the difference set of tribonacci numbers and primes in that difference set.

			a(1) = 2 because 4 - 2 = 2 where 4 and 2 are tetranacci numbers.
a(2) = 3 because 4 - 1 = 3 where 4 and 1 are tetranacci numbers.
a(3) = 7 because 8 - 1 = 7 where 8 and 1 are tetranacci numbers.
a(4) = 11 because 15 - 4 = 11 where 15 and 4 are tetranacci numbers.
a(5) = 13 because 15 - 2 = 13 where 15 and 2 are tetranacci numbers.

Cf. A000040, A000078, A113188-A113194, A113238, A113239, A113243.

isA113244 := proc(n)
    isprime(n) and isA113243(n) ;
end proc:
for n from 1 do
    p := ithprime(n) ;
    if isA113244(p) then
        printf("%d\n",p) ;
    end if;
end do: # R. J. Mathar, Oct 04 2014

{a(n)} = intersection of A000040 and A113243. {a(n)} = primes in the difference set of tetranacci sequence A000078, excluding prime tetranacci numbers A104535.

281081 inserted by R. J. Mathar, Oct 04 2014

cp's OEIS Frontend

A113244 Prime differences of tetranacci numbers.

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