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

Author

Werner D. Sand, Sep 26 2002

Keywords

• nonn

Examples

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

Formula

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