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A056929
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Difference between n^2 and average of smallest prime greater than n^2 and largest prime less than n^2.
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7
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0, 0, 1, -1, 2, -1, 0, 0, 1, 1, 0, -1, 1, 0, 2, 1, 0, -2, 1, 0, 1, -3, 2, 0, 1, -1, 4, -5, 3, 1, -2, 0, -2, -1, 2, -1, 1, 4, 1, 0, -4, -5, -5, 3, -5, -1, 1, -4, 10, 0, 1, -2, 3, -5, 7, 9, -2, 1, 0, -2, 4, -9, 0, 1, 3, 1, -5, -10, 4, -4, 0, 1, 2, -6, 12, -4, 0, 3, -9, 3, -2, -2, 6, 1, -6, 2, -3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,5
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FORMULA
| a(n) =A000290(n)-A056928(n) =(A056927(n)-A053000(n))/2
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EXAMPLE
| a(4)=1 because smallest prime greater than 4^2 is 17, largest prime less than 4^2 is 13, average of 17 and 13 is 15 and 16-15=1
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MAPLE
| with(numtheory): A056929 := n-> n^2-(prevprime(n^2)+nextprime(n^2))/2);
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CROSSREFS
| Cf. A007491, A053000, A053001, A056927, A056928, A056930, A056931.
Sequence in context: A170967 A035227 A049340 * A151692 A115201 A118229
Adjacent sequences: A056926 A056927 A056928 * A056930 A056931 A056932
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KEYWORD
| easy,sign
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 12 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 13 2000
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