A367187 Numbers which are the sum of a prime number and a Fibonacci number of index >1 in at least two ways.

4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 28, 30, 31, 32, 34, 36, 37, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 66, 68, 69, 72, 74, 75, 76, 78, 80, 81, 82, 84, 86, 87, 88, 91, 92, 94, 96, 98, 100

Offset

1,1

Links

Table of n, a(n) for n=1..69.

Example

4 is a term since 4 = 1+3 = 2+2.
5 is a term since 5 = 2+3 = 3+2.
57 is a term since 57 = 2+55 = 23+34.

Prog

(PARI) isfib(n) = if (n>0, my(k=n^2); k+=(k+1)<<2; issquare(k) || issquare(k-8));
isok(k) = sum(i=1, primepi(k), isfib(k-prime(i))) > 1; \\ Michel Marcus, Nov 09 2023

Crossrefs

Cf. A000040, A000045, A367186.

Subsequence of A132147.

Sequence in context: A194414 A182204 A343916 * A121541 A182305 A023373

Adjacent sequences: A367184 A367185 A367186 * A367188 A367189 A367190

Keyword

nonn

Author

Yuda Chen, Nov 08 2023

Status

approved