A122550 Floor of the slanted side of a right trapezoid formed by 3 consecutive primes.

4, 6, 9, 12, 14, 18, 19, 25, 30, 32, 38, 41, 43, 48, 54, 59, 61, 67, 71, 73, 79, 83, 90, 97, 101, 103, 107, 109, 114, 128, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 212, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277

Offset

1,1

Comments

It is easy to prove that for any 3 consecutive primes p1,p2,p3, a(n) always lies between p2 and p3.

Links

Table of n, a(n) for n=1..58.

Example

For the first 3 prime numbers, go up 2, go right 3 and go down 5. Connecting the figure to form a right trapezoid we have the slanted side = sqrt(18). The integer part of this is 4, the first term of the sequence.

Prog

(PARI) a(n) = { my(p1=prime(n), p2=prime(n+1), p3=prime(n+2), y=p3-p1);  sqrtint(p2^2 + y^2) }

Crossrefs

Sequence in context: A189533 A047408 A060644 * A191407 A076083 A094202

Adjacent sequences: A122547 A122548 A122549 * A122551 A122552 A122553

Keyword

easy,nonn

Author

Cino Hilliard, Sep 20 2006

Status

approved