A074500 Difference between n*sqrt(n)+1 and prime(n), rounded to nearest integer.

0, 1, 1, 2, 1, 3, 3, 5, 5, 4, 6, 6, 7, 10, 12, 12, 12, 16, 17, 19, 24, 25, 28, 30, 29, 33, 38, 42, 48, 52, 47, 51, 54, 60, 59, 66, 69, 72, 78, 81, 85, 92, 92, 100, 106, 114, 112, 111, 117, 126, 132, 137, 146, 147, 152, 157, 162, 172, 177, 185, 194, 196, 194, 202, 212

Offset

1,4

Links

Table of n, a(n) for n=1..65.

Formula

a(n) = round(n*sqrt(n) + 1 - prime(n)).

Example

a(3) = round(3*sqrt(3) + 1 - prime(3)) = round(5.196... + 1 - 5) = round(1.196...) = 1.

Crossrefs

Sequence in context: A240863 A288005 A237832 * A107237 A070047 A101198

Adjacent sequences: A074497 A074498 A074499 * A074501 A074502 A074503

Keyword

nonn

Author

Werner D. Sand, Sep 26 2002

Status

approved