id:A072004 - OEIS Search Results

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A072004

Remainder when sum of squares of first n primes is divided by n-th prime.

+0
3

0, 1, 3, 3, 10, 0, 3, 1, 15, 19, 10, 28, 12, 1, 32, 25, 0, 42, 42, 45, 4, 23, 77, 50, 30, 45, 86, 43, 64, 100, 23, 105, 89, 41, 87, 54, 133, 2, 59, 47, 147, 64, 174, 102, 65, 104, 7, 127, 107, 28, 210, 194, 106, 60, 159, 95, 119, 116, 104, 230, 224, 110, 183, 212, 287 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n) = s[n] - p[n]*q[n], where s[n] = sum of squares of first n primes, p[n] is n-th prime and q[n] is floor(s[n]/p[n]).`
	EXAMPLE	`a[3] = 3 because s[3] = 22 + 33 + 55 = 38, p[3]=5 and q[3]= floor(38/5)=7, so a[3] = 38-57 = 3.`
	CROSSREFS	`Sequence in context: A122961 A165421 A100731 this_sequence A095271 A054511 A134704` `Adjacent sequences: A072001 A072002 A072003 this_sequence A072005 A072006 A072007`
	KEYWORD	`easy,nonn`
	AUTHOR	`Randy L. Ekl (Randy.Ekl(AT)Motorola.com), Jun 18 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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