[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A127919
1/3 of product of three numbers: the n-th prime, the previous number and the following number.
9
2, 8, 40, 112, 440, 728, 1632, 2280, 4048, 8120, 9920, 16872, 22960, 26488, 34592, 49608, 68440, 75640, 100232, 119280, 129648, 164320, 190568, 234960, 304192, 343400, 364208, 408312, 431640, 480928, 682752, 749320, 857072, 895160, 1102600
OFFSET
1,1
COMMENTS
Number of irreducible monic cubic polynomials over GF(prime(n)). - Robert Israel, Jan 06 2015
LINKS
FORMULA
a(n) = (prime(n)^3 - prime(n))/3. - Wesley Ivan Hurt, Oct 15 2023
MAPLE
seq((ithprime(n)^3 - ithprime(n))/3, n=1..100); # Robert Israel, Jan 06 2015
MATHEMATICA
Table[(Prime[n] + 1) Prime[n] (Prime[n] - 1)/3, {n, 100}]
PROG
(PARI) forprime(p=2, 1e3, print1(2*binomial(p+1, 3)", ")) \\ Charles R Greathouse IV, Jun 16 2011
(Magma) [(p^3 - p) div 3: p in PrimesUpTo(150)]; // Vincenzo Librandi, Jan 08 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Artur Jasinski, Feb 06 2007
STATUS
approved