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Numbers of the form (p^2 - 49)/120 where p is prime.
(Formerly M1242 N0476)
3

%I M1242 N0476 #36 Jul 29 2019 16:10:11

%S 0,1,2,4,11,15,18,23,37,44,57,78,88,95,106,134,156,205,221,232,249,

%T 310,323,414,429,452,550,576,639,667,715,785,816,837,946,1003,1038,

%U 1122,1159,1222,1313,1562,1635,1740,1786,1817,1976,2108,2279,2493,2585,2641

%N Numbers of the form (p^2 - 49)/120 where p is prime.

%C Primes p corresponding to a(n) are found in A003631(n+2) = A042993(n+3) = A097957(n+1). - _Ray Chandler_, Jul 29 2019

%D H. Gupta, On a conjecture of Chowla, Proc. Indian Acad. Sci., 5A (1937), 381-384.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Ray Chandler, <a href="/A002382/b002382.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Harvey P. Dale)

%H H. Gupta, <a href="/A002381/a002381.pdf">On a conjecture of Chowla</a>, Proc. Indian Acad. Sci., 5A (1937), 381-384. [Annotated scanned copy]

%t Select[(Prime[Range[150]]^2-49)/120,IntegerQ] (* _Harvey P. Dale_, Jan 19 2014 *)

%Y Cf. A002381, A002855, A003631, A042993, A097957.

%K nonn

%O 1,3

%A _N. J. A. Sloane_

%E More terms from _James A. Sellers_, May 03 2000