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Search: id:A056930
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| A056930 |
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Average of smallest prime greater than n^2 and largest prime less than (n+1)^2. |
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+0
4
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| 6, 12, 20, 30, 42, 57, 73, 90, 107, 133, 158, 183, 210, 239, 270, 305, 345, 382, 420, 461, 505, 556, 598, 652, 702, 753, 813, 870, 930, 994, 1059, 1122, 1193, 1260, 1332, 1406, 1479, 1560, 1635, 1726, 1812, 1897, 1983, 2070, 2168, 2255, 2354, 2444
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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a(1)=2.5 which is not an integer
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FORMULA
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a(n) =(A007491(n)+A053001(n+1))/2 =A002378(n)-A056931(n)
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EXAMPLE
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a(4)=1 because smallest prime greater than 4^2 is 17, largest prime less than 5^2 is 23, and average of 17 and 23 is 20
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CROSSREFS
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Cf. A002378, A007491, A053000, A053001, A056927, A056928, A056929, A056931.
Sequence in context: A080714 A116368 A007622 this_sequence A064971 A130199 A117343
Adjacent sequences: A056927 A056928 A056929 this_sequence A056931 A056932 A056933
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KEYWORD
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easy,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 12 2000
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