id:A097431 - OEIS Search Results

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Integer part of the hypotenuse of right triangles with consecutive prime legs.

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3, 5, 8, 13, 17, 21, 25, 29, 37, 42, 48, 55, 59, 63, 70, 79, 84, 90, 97, 101, 107, 114, 121, 131, 140, 144, 148, 152, 157, 169, 182, 189, 195, 203, 212, 217, 226, 233, 240, 248, 254, 263, 271, 275, 280, 290, 307, 318, 322, 326, 333, 339, 347, 359, 367, 376, 381 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`hypot = floor(sqrt(prime(n)^2+prime(n+1)^2))`
	EXAMPLE	`If legs = 3,5 then hypot = floor(sqrt(9+25)) = 5, the 2-nd entry.`
	PROGRAM	`(PARI) f(n) = for(j=1, n, x=prime(j); y=prime(j+1); print1(floor(sqrt(x^2+y^2))", "))`
	CROSSREFS	`Sequence in context: A020643 A092360 A129141 this_sequence A123929 A036715 A158384` `Adjacent sequences: A097428 A097429 A097430 this_sequence A097432 A097433 A097434`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Aug 22 2004`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

AT&T Labs Research