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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. 0
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

COMMENTS

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

LINKS

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

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

Sequence in context: A031681 A118924 A065304 * A234782 A206133 A321825

Adjacent sequences:  A178779 A178780 A178781 * A178783 A178784 A178785

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 12 2010

STATUS

approved

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Last modified March 30 06:59 EDT 2020. Contains 333119 sequences. (Running on oeis4.)