id:A075889 - OEIS Search Results

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Prime differences of successive primes squared divided by 24, (prime(n+1)^2-prime(n)^2)/24.

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3, 2, 5, 3, 7, 13, 5, 17, 13, 7, 23, 43, 17, 37, 43, 67, 23, 127, 137, 47, 103, 167, 127, 193, 223, 163, 167, 283, 103, 107, 257, 137, 293, 313, 487, 337, 563, 613, 617, 643, 647, 433, 773, 523, 283, 313, 1033, 347, 373, 757, 1187, 397, 1193, 797, 1277, 443 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`For n>=3, prime(n+1)^2-prime(n)^2 is always divisible by 24, and for many n's (prime(n+1)^2-prime(n)^2)/24 is prime.`
	FORMULA	`a(n)=(prime(n+1)^2-prime(n)^2)/24.`
	EXAMPLE	`a(1)=3 because (prime(n+1)^2-prime(n)^2)/24=3 is the prime for the smallest n=5; next a(2)=2 corresponds to n=6.`
	CROSSREFS	`Sequence in context: A107128 A086670 A075888 this_sequence A045766 A132817 A131025` `Adjacent sequences: A075886 A075887 A075888 this_sequence A075890 A075891 A075892`
	KEYWORD	`easy,nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Oct 17 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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