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A320688
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Sum of the square excess A056892 of the primes between two squares.
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1
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3, 4, 6, 11, 10, 24, 26, 34, 26, 33, 50, 67, 72, 46, 70, 109, 96, 132, 122, 153, 132, 145, 174, 229, 208, 175, 194, 287, 232, 244, 338, 267, 276, 345, 374, 239, 392, 396, 424, 390, 484, 373, 514, 563, 618, 424, 654, 821, 442, 557, 890, 814, 668, 741, 580, 642, 990, 811, 982, 968, 772
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OFFSET
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1,1
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COMMENTS
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Consider the primes p1,...,pK between two squares n^2 and (n+1)^2, and take the sum of the differences: (p1 - n^2) + ... + (pK - n^2). Obviously this equals (sum of these primes) - (number of these primes) * n^2.
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LINKS
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FORMULA
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PROG
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(PARI) a(n, s=0)={forprime(p=n^2, (n+1)^2, s+=p-n^2); s}
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CROSSREFS
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Row sums of A056892, read as a table.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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