The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A224699 a(n) = smallest k such that there is no square between prime(k) and prime(k+n). 1
 1, 7, 12, 26, 49, 55, 106, 106, 163, 229, 229, 307, 343, 343, 394, 458, 655, 655, 655, 655, 758, 812, 1358, 1472, 1472, 1472, 1618, 1618, 1767, 2058, 2191, 2191, 2393, 2638, 2916, 3108, 3108, 3339, 3437, 3946, 4272, 4353, 4353, 5107, 5107, 5523, 5523, 5744 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is apparently infinite. LINKS Zak Seidov, Table of n, a(n) for n = 1..2000 EXAMPLE a(2000) = 19907242 because p = prime(19907242) = 371756971, q = prime(19907242 + 2000) = 371795461,  and between p anq q there is no square: (19281^2 = 371756961) < p and (19282^2 = 371795524) > q. MATHEMATICA m1 = 1; s = {}; Do[Do[If[Ceiling[Sqrt[Prime[m]]]^2 > Prime[m + k], AppendTo[s,  m]; m1 = m; Break[]], {m, m1, 10^6}], {k, 60}]; s CROSSREFS Cf. A221056. Sequence in context: A093025 A104584 A223417 * A078575 A220036 A330589 Adjacent sequences:  A224696 A224697 A224698 * A224700 A224701 A224702 KEYWORD nonn AUTHOR Zak Seidov, Apr 16 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 29 15:46 EST 2021. Contains 349416 sequences. (Running on oeis4.)