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Search: id:A131647
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A131647 Numbers that are products of distinct primes and divisible by the sum of those primes. +0
1
30, 70, 105, 231, 286, 627, 646, 805, 897, 1122, 1581, 1798, 2730, 2958, 2967, 3055, 3526, 3570, 4070, 4543, 5487, 5658, 6461, 6745, 7198, 7881, 8778, 8970, 9222, 9282, 9717, 10366, 10370, 10626, 10707, 11130, 14231, 15015, 16377, 16530, 19866 (list; graph; listen)
OFFSET

1,1

EXAMPLE

1122 = 2*3*11*17, and 1122 is divisible by 2+3+11+17=33.

MATHEMATICA

Select[Range[2, 20000], PrimeQ[ # ] == False && Union[Transpose[FactorInteger[ # ]][[2]]] == {1} && Mod[ #, Plus @@ Transpose[FactorInteger[ # ]][[1]]] == 0 &]

CROSSREFS

Sequence in context: A044513 A064623 A112343 this_sequence A071141 A071312 A071142

Adjacent sequences: A131644 A131645 A131646 this_sequence A131648 A131649 A131650

KEYWORD

nonn

AUTHOR

Tanya Khovanova (tanyakh(AT)yahoo.com), Sep 08 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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