A096384 a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.

28, 88, 95, 192, 272, 353, 528, 626, 788, 958, 1115, 1353, 1573, 1862, 2071, 2333, 2675, 2946, 3373, 3765, 4173, 4562, 4926, 5383, 5782, 6524, 6909, 8099, 8437, 9355, 9747, 10692, 11306, 12066, 12789, 13748, 14306, 15396, 15725, 17169, 17966, 19202

Offset

4,1

Comments

The area of a prime sided triangle is always an irrational number.

Links

Andrew Howroyd, Table of n, a(n) for n = 4..1000

Prog

(PARI) \\ here areasquared is square of area of triangle with given sides.
areasquared(a, b, c)={my(p=(a+b+c)/2); p*(p-a)*(p-b)*(p-c)}
a(n)={sqrtint(floor(areasquared(prime(n), prime(n+2), prime(n+4))))} \\ Andrew Howroyd, Aug 17 2018

Crossrefs

Cf. A007531.

Sequence in context: A042544 A042546 A164689 * A065655 A341623 A272399

Adjacent sequences: A096381 A096382 A096383 * A096385 A096386 A096387

Keyword

nonn

Author

Cino Hilliard, Aug 05 2004

Extensions

Name clarified, a(4) prepended and data corrected by Andrew Howroyd, Aug 17 2018

Status

approved