A305900 Filter sequence for a(primes > 3) = constant sequences.

1, 2, 3, 4, 5, 6, 5, 7, 8, 9, 5, 10, 5, 11, 12, 13, 5, 14, 5, 15, 16, 17, 5, 18, 19, 20, 21, 22, 5, 23, 5, 24, 25, 26, 27, 28, 5, 29, 30, 31, 5, 32, 5, 33, 34, 35, 5, 36, 37, 38, 39, 40, 5, 41, 42, 43, 44, 45, 5, 46, 5, 47, 48, 49, 50, 51, 5, 52, 53, 54, 5, 55, 5, 56, 57, 58, 59, 60, 5, 61, 62, 63, 5, 64, 65, 66, 67, 68, 5, 69, 70, 71, 72, 73, 74, 75, 5, 76

Offset

1,2

Comments

For all i, j:

a(i) = a(j) => A305801(i) = A305801(j) => A305800(i) = A305800(j).

a(i) = a(j) => A007949(i) = A007949(j).

a(i) = a(j) => A305893(i) = A305893(j).

Links

Antti Karttunen, Table of n, a(n) for n = 1..100000

Formula

For n <= 5, a(n) = n, for >= 5, a(n) = 5 when n is a prime, and a(n) = 3+n-A000720(n) when n is a composite.

Prog

(PARI) A305900(n) = if(n<=5, n, if(isprime(n), 5, 3+n-primepi(n)));

Crossrefs

Cf. A305800, A305801, A305893.

Cf. also A305901, A305902, A305903 (this filter applied to various permutations of N).

Sequence in context: A335130 A358747 A358230 * A287943 A305211 A091951

Adjacent sequences: A305897 A305898 A305899 * A305901 A305902 A305903

Keyword

nonn

Author

Antti Karttunen, Jun 14 2018

Status

approved