A063076 Differences of A011757 ("Primes with square indices").

5, 16, 30, 44, 54, 76, 84, 108, 122, 120, 166, 182, 184, 234, 192, 260, 264, 294, 304, 342, 378, 342, 408, 426, 414, 468, 488, 474, 516, 576, 588, 576, 604, 590, 696, 694, 728, 694, 756, 828, 774, 776, 870, 862, 852, 1010, 922, 998, 916, 1020, 1032, 1110

Offset

1,1

Comments

Does a(n) = k^2 have infinitely many solutions? E.g., 16 = 4^2; 576 = 24^2; ...

Links

Harry J. Smith, Table of n, a(n) for n = 1..1000

Mathematica

Differences[Prime[Range[60]^2]] (* Harvey P. Dale, May 01 2023 *)

Prog

(PARI) j=[]; for(n=1, 150, j=concat(j, prime((n+1)^2)-prime(n^2))); j
(PARI) { default(primelimit, 2*10^7); for (n=1, 1000, write("b063076.txt", n, " ", prime((n+1)^2) - prime(n^2)) ) } \\ Harry J. Smith, Aug 17 2009

Crossrefs

Cf. A011757, A063082.

Sequence in context: A212457 A134594 A222535 * A270805 A132479 A045944

Adjacent sequences: A063073 A063074 A063075 * A063077 A063078 A063079

Keyword

nonn

Author

Santi Spadaro, Aug 04 2001

Extensions

More terms from Jason Earls, Aug 05 2001

Status

approved