cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A235766 Smallest first term of a sequence of exactly n consecutive hoax numbers.

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%I A235766 #26 Mar 14 2025 15:51:25
%S A235766 22,84,12955,291090,9538589,3541285143,136063250955,253282144742
%N A235766 Smallest first term of a sequence of exactly n consecutive hoax numbers.
%C A235766 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 A235766 Shyam Sunder Gupta, <a href="https://doi.org/10.1007/978-981-97-2465-9_4">Smith Numbers</a>, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157.
%H A235766 Giovanni Resta, <a href="http://www.numbersaplenty.com/set/hoax_number/">Hoax numbers</a>.
%H A235766 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HoaxNumber.html">Hoax Number</a>.
%e A235766 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 A235766 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 A235766 Cf. A019506.
%K A235766 nonn,hard,more,base
%O A235766 1,1
%A A235766 _Carlos Rivera_, Jan 15 2014
%E A235766 a(6)-a(8) from _Giovanni Resta_, Jan 15 2014