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

Author

Santi Spadaro, Aug 04 2001

Keywords

• nonn

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

Crossrefs

Cf. A011757, A063082.

Programs

Mathematica

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

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

Extensions

More terms from Jason Earls, Aug 05 2001