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A066911 Sum of primes < n that do not divide n. 6
0, 0, 2, 3, 5, 5, 10, 15, 14, 10, 17, 23, 28, 32, 33, 39, 41, 53, 58, 70, 67, 64, 77, 95, 95, 85, 97, 91, 100, 119, 129, 158, 146, 141, 148, 155, 160, 176, 181, 190, 197, 226, 238, 268, 273, 256, 281, 323, 321, 321, 308, 313, 328, 376, 365, 372, 359, 350, 381, 430 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Equals row sums of triangle A143655. - Gary W. Adamson, Aug 28 2008

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

FORMULA

a(prime(n)) = A007504(n-1). - Michel Marcus, May 20 2014

EXAMPLE

a(8) = 3 + 5 + 7 = 15 because 3, 5 and 7 are the primes < 8 that do not divide 8.

MATHEMATICA

Table[Total@ Complement[Prime@ Range@ PrimePi@ n, FactorInteger[n][[All, 1]]], {n, 60}] (* Michael De Vlieger, Sep 04 2017 *)

PROG

(PARI) a(n) = sum(i=1, n-1, if (isprime(i) && (n%i), i)); \\ Michel Marcus, May 20 2014

CROSSREFS

Cf. A007504, A143655.

Sequence in context: A140312 A088887 A265546 * A326229 A326187 A071850

Adjacent sequences: A066908 A066909 A066910 * A066912 A066913 A066914

KEYWORD

nonn

AUTHOR

Leroy Quet, Jan 22 2002

STATUS

approved

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Last modified March 27 18:31 EDT 2023. Contains 361575 sequences. (Running on oeis4.)