A255000 - OEIS

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A255000

Prime(n + d(n)), with d(n) = prime(n+1) - prime(n), for n >= 1.

3, 7, 11, 19, 17, 29, 23, 37, 47, 37, 59, 53, 47, 61, 73, 79, 67, 89, 83, 79, 103, 101, 109, 131, 109, 107, 127, 113, 137, 193, 149, 163, 149, 193, 157, 181, 191, 181, 197, 199, 191, 239, 197, 223, 211, 271, 277, 239, 233, 251, 269, 251, 307, 281, 283, 293

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OFFSET

1,1

COMMENTS

This sequence is not a mere permutation of primes, for some of them will be excluded from it, e.g., 5, 13, 31, 71, 97.

LINKS

Table of n, a(n) for n=1..56.

FORMULA

a(n) = prime(n + prime(n + 1) - prime(n)) = A000040(n + A001223(n)).

EXAMPLE

a(1) = prime(1 + prime(2) - prime(1)) = prime(1 + 3 - 2) = prime(2) = 3.

MATHEMATICA