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

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