Search: id:A102237
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%I A102237
%S A102237 2,9,12,36,48,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,
%T A102237 131072,262144,524288,1048576,2097152,4194304,8388608,16777216,33554432,
%U A102237 67108864,134217728,268435456,536870912,1073741824,2147483648
%N A102237 Smallest number equal to the product of n primes which is also equal 
               to the sum of n distinct primes.
%C A102237 Conjecture: a(n) = 2^n for n>5. (Chandler)
%e A102237 a(1) = 2;
%e A102237 a(2) = 9 = 3*3 = 2+7;
%e A102237 a(3) = 12 = 2*2*3 = 2+3+7;
%e A102237 a(4) = 36 = 2*2*3*3 = 3+5+11+17;
%e A102237 a(5) = 48 = 2*2*2*2*3 = 2+3+5+7+31.
%Y A102237 Sequence in context: A129829 A053900 A126977 this_sequence A076505 A129345 
               A125019
%Y A102237 Adjacent sequences: A102234 A102235 A102236 this_sequence A102238 A102239 
               A102240
%K A102237 nonn
%O A102237 1,1
%A A102237 Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Feb 18 2005
%E A102237 Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net) 
               Feb 25 2005

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