A235766 - OEIS

%I #17 Jan 23 2014 15:18:43

%S 22,84,12955,291090,9538589,3541285143,136063250955,253282144742

%N Smallest first term of a sequence of exactly n consecutive hoax numbers.

%C A hoax number is a composite number whose sum of digits is equal to the sum of the digits of its distinct prime factors.

%H Giovanni Resta, <a href="http://www.numbersaplenty.com/set/hoax_number/">Hoax numbers</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HoaxNumber.html">Hoax Number</a>

%e For n = 1, a(1) = 22 because 22 = 11*2 and the sum of the digits (SOD) in both sides is 4 but 23 is not composite.

%e For n = 2, a(2) = 84 because 84 = 2^2*3*7, SOD = 12; 85 = 5*17, SOD = 13 but 86 = 2*43 and SOD = 14 <> 9.

%Y Cf. A019506.

%K nonn,hard,more,base

%O 1,1

%A _Carlos Rivera_, Jan 15 2014

%E a(6)-a(8) from _Giovanni Resta_, Jan 15 2014