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A083558 p(p^2-p+1) as p runs through the primes. 3
6, 21, 105, 301, 1221, 2041, 4641, 6517, 11661, 23577, 28861, 49321, 67281, 77701, 101661, 146121, 201957, 223321, 296341, 352941, 383761, 486877, 564981, 697137, 903361, 1020201, 1082221, 1213701, 1283257, 1430241, 2032381, 2231061, 2552721, 2666437 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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Discard (from the list of integers) numbers that have exactly 1 factor of prime(n) in their prime factorization. Of those remaining, the proportion that have exactly 2 factors of prime(n) is (prime(n)-1)/a(n). - Peter Munn, Nov 27 2020

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A000040(n) * A119959(n). - Peter Munn, Nov 29 2020

MATHEMATICA

Table[p(p^2-p+1), {p, Prime[Range[40]]}] (* Harvey P. Dale, Jan 09 2017 *)

PROG

(MAGMA) [p*(p^2-p+1): p in PrimesUpTo(150)]; // Vincenzo Librandi, Jan 10 2017

CROSSREFS

Cf. A000040, A119959.

Sequence in context: A012418 A203295 A318566 * A060843 A026650 A347948

Adjacent sequences:  A083555 A083556 A083557 * A083559 A083560 A083561

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 15 2003

STATUS

approved

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Last modified September 25 20:01 EDT 2021. Contains 347659 sequences. (Running on oeis4.)