A002382 Numbers of the form (p^2 - 49)/120 where p is prime. (Formerly M1242 N0476)

0, 1, 2, 4, 11, 15, 18, 23, 37, 44, 57, 78, 88, 95, 106, 134, 156, 205, 221, 232, 249, 310, 323, 414, 429, 452, 550, 576, 639, 667, 715, 785, 816, 837, 946, 1003, 1038, 1122, 1159, 1222, 1313, 1562, 1635, 1740, 1786, 1817, 1976, 2108, 2279, 2493, 2585, 2641

Offset

1,3

Comments

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

References

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

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

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

Links

Ray Chandler, Table of n, a(n) for n = 1..10000 (first 1000 terms from Harvey P. Dale)

H. Gupta, On a conjecture of Chowla, Proc. Indian Acad. Sci., 5A (1937), 381-384. [Annotated scanned copy]

Mathematica

Select[(Prime[Range[150]]^2-49)/120, IntegerQ] (* Harvey P. Dale, Jan 19 2014 *)

Crossrefs

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

Sequence in context: A038193 A227456 A214429 * A356478 A330856 A180384

Adjacent sequences: A002379 A002380 A002381 * A002383 A002384 A002385

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from James A. Sellers, May 03 2000

Status

approved