A178782 - OEIS

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A178782

Products of 5 distinct primes a,b,c,d,e, such that a+b+c+d+e are prime numbers.

19635, 25935, 42315, 47355, 51765, 54285, 57057, 58695, 61215, 62205, 64515, 70035, 72105, 73185, 73815, 76245, 82005, 83265, 83895, 85085, 86955, 87945, 88179, 90321, 90915, 95865, 96135, 99015, 99645, 100815, 103785, 107835, 110055

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..33.

EXAMPLE

19635 = 3*5*7*11*17, 3+5+7+11+17 = 43, ..

MATHEMATICA

f[n_]:=Last/@FactorInteger[n]=={1, 1, 1, 1, 1}&&PrimeQ[Plus@@First/@FactorInteger[n]]; lst={}; Do[If[f[n], AppendTo[lst, n]], {n, 9!}]; lst

With[{nn=40}, Take[Union[Times@@#&/@Select[Subsets[Prime[Range[nn]], {5}], PrimeQ[Total[#]]&]], nn]] (* Harvey P. Dale, Aug 07 2013 *)

CROSSREFS

Cf. A176877.