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!)
 A107989 Consider primes p such that integer part of the volume of cube with faces of area p is prime; sequence gives integer part of volumes. 2
 2, 5, 11, 281, 839, 1201, 1499, 2081, 9769, 10091, 11483, 12583, 14221, 20089, 21491, 26417, 36931, 37633, 41621, 47251, 47903, 52889, 64781, 72643, 73019, 75541, 88037, 93701, 94111, 121937, 122533, 138041, 139439, 143503, 147289, 179917 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 FORMULA V = floor(sqrt(p)^3), p is prime and the area of the face of a cube. EXAMPLE p = 5, volume = floor(sqrt(5)^3) = 11 a prime. MATHEMATICA Select[Floor[(Sqrt[#])^3]&/@Prime[Range[500]], PrimeQ] (* Harvey P. Dale, Dec 05 2018 *) PROG (PARI) g(n) = forprime(x=2, n, y=floor(sqrt(x)^3); if(isprime(y), print1(y, ", "))) CROSSREFS A107990 gives areas of faces. Sequence in context: A225955 A236073 A064772 * A069504 A158997 A101828 Adjacent sequences:  A107986 A107987 A107988 * A107990 A107991 A107992 KEYWORD easy,nonn AUTHOR Cino Hilliard, Jun 13 2005 EXTENSIONS Definition corrected by N. J. A. Sloane, Dec 04 2018. Thanks to Harvey P. Dale for pointing out that something was wrong. 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 April 14 00:07 EDT 2021. Contains 342941 sequences. (Running on oeis4.)