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A104173 a(n) is the smallest integer equal to the sum and the product of the same n positive integers: a(n)=i(1)+i(2)+...+i(n)=i(1)*i(2)*...*i(n). 2

%I

%S 1,4,6,8,8,12,12,12,15,16,16,16,18,20,24,24,24,24,24,28,27,32,30,48,

%T 32,32,32,36,36,36,42,40,40,48,48,48,45,48,48,48,48,48,54,60,54,56,54,

%U 60,63,60,60,60,63,64,64,64,64,64,70,72,72,72,72,72,72,84,80,80,81,80,80

%N a(n) is the smallest integer equal to the sum and the product of the same n positive integers: a(n)=i(1)+i(2)+...+i(n)=i(1)*i(2)*...*i(n).

%H David Radcliffe, <a href="/A104173/b104173.txt">Table of n, a(n) for n = 1..10000</a>

%H Project Euler, <a href="https://projecteuler.net/problem=88">Problem 88: Product-sum numbers</a>

%e a(6)=12 because 6+2+1+1+1+1=6*2*1*1*1*1=12 is the smallest integer which is the sum and product of the same 6 positive integers.

%K easy,nonn

%O 1,2

%A Louis Marmet (louis(AT)marmet.org), Mar 10 2005

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Last modified July 20 14:50 EDT 2017. Contains 289625 sequences.