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 A056928 Average of smallest prime greater than n^2 and largest prime less than n^2. 4
 4, 9, 15, 26, 34, 50, 64, 81, 99, 120, 144, 170, 195, 225, 254, 288, 324, 363, 399, 441, 483, 532, 574, 625, 675, 730, 780, 846, 897, 960, 1026, 1089, 1158, 1226, 1294, 1370, 1443, 1517, 1599, 1681, 1768, 1854, 1941, 2022, 2121, 2210, 2303, 2405, 2490 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Hugo Pfoertner, Table of n, a(n) for n = 2..10000 FORMULA a(n) = (A007491(n) - A053001(n))/2. a(n) = A000290(n) + (A053000(n)-A056927(n))/2. a(n) = A000290(n) - A056929(n). EXAMPLE a(4)=15 because smallest prime greater than 4^2 is 17, largest prime less than 4^2 is 13 and average of 17 and 13 is 15 MATHEMATICA Table[n2=n^2; (NextPrime[n2, -1]+NextPrime[n2])/2, {n, 2, 100}] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011*) PROG (PARI) a(n) = (nextprime(n^2) + precprime(n^2))/2; \\ Michel Marcus, May 20 2018 CROSSREFS Cf. A007491, A053000, A053001, A056927, A056929, A056930, A056931. Sequence in context: A030664 A070160 A244672 * A225283 A122964 A301254 Adjacent sequences: A056925 A056926 A056927 * A056929 A056930 A056931 KEYWORD easy,nonn AUTHOR Henry Bottomley, Jul 12 2000 STATUS approved

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Last modified February 8 01:34 EST 2023. Contains 360133 sequences. (Running on oeis4.)