

A063036


Difference between average of smallest prime greater than n^3 and largest prime less than (n+1)^3 and nth pronic [=n(n+1)].


1



11, 33, 70, 139, 238, 372, 552, 775, 1058, 1410, 1800, 2290, 2851, 3501, 4232, 5067, 6006, 7048, 8213, 9496, 10901, 12450, 14124, 15951, 17928, 20059, 22358, 24822, 27470, 30284, 33296, 36504, 39898, 43514, 47325, 51364, 55597, 60105, 64822
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OFFSET

2,1


COMMENTS

First term is not an integer.


LINKS

Harry J. Smith, Table of n, a(n) for n = 2..1000


EXAMPLE

n=4: a(4) = 70 because the smallest prime greater than 4^3 is 67, the largest prime less than 5^3 is 113, the average of 67 and 113 is 90, and 90  4*5 = 70.


PROG

(PARI) j=[]; for(n=2, 60, j=concat(j, ((precprime((n+1)^3)+nextprime(n^3))/2) (n*(n+1))))); j
(PARI) { for (n=2, 1000, a=(precprime((n + 1)^3) + nextprime(n^3))/2  n*(n + 1); write("b063036.txt", n, " ", a) ) } \\ Harry J. Smith, Aug 16 2009


CROSSREFS

Sequence in context: A296543 A152740 A080859 * A163673 A212132 A027025
Adjacent sequences: A063033 A063034 A063035 * A063037 A063038 A063039


KEYWORD

easy,nonn


AUTHOR

Jason Earls, Aug 03 2001


STATUS

approved



