A071179 n - (sum of prime factors of n) is prime.

4, 10, 12, 14, 15, 18, 20, 21, 24, 26, 28, 33, 35, 36, 38, 39, 44, 45, 48, 50, 51, 52, 56, 62, 63, 65, 69, 72, 75, 77, 80, 86, 91, 92, 93, 95, 98, 104, 108, 111, 112, 117, 122, 123, 129, 133, 135, 144, 146, 147, 148, 152, 159, 161, 162, 171, 172, 175, 176, 188, 189

Offset

1,1

Comments

Prime factors taken without multiplicity. - Harvey P. Dale, Feb 04 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..2000

Example

20 = 2^2.5 and 20-(2+5) = 13 is prime hence 20 is in the sequence

Mathematica

Select[Range[200], PrimeQ[#-Total[Transpose[FactorInteger[#]][[1]]]]&] (* Harvey P. Dale, Feb 04 2014 *)

Prog

(PARI) for(n=1, 100, if(isprime(n-sumdiv(n, d, isprime(d)*d))==1, print1(n, ", ")))

Crossrefs

Sequence in context: A092428 A170943 A102998 * A155475 A023693 A299634

Adjacent sequences: A071176 A071177 A071178 * A071180 A071181 A071182

Keyword

easy,nonn

Author

Benoit Cloitre, Jun 10 2002

Status

approved