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A235766 Smallest first term of a sequence of exactly n consecutive hoax numbers. 2
22, 84, 12955, 291090, 9538589, 3541285143, 136063250955, 253282144742 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..8.

Giovanni Resta, Hoax numbers

Eric Weisstein's World of Mathematics, Hoax Number

EXAMPLE

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.

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.

CROSSREFS

Cf. A019506.

Sequence in context: A010010 A237618 A105101 * A044209 A044590 A125243

Adjacent sequences:  A235763 A235764 A235765 * A235767 A235768 A235769

KEYWORD

nonn,hard,more,base

AUTHOR

Carlos Rivera, Jan 15 2014

EXTENSIONS

a(6)-a(8) from Giovanni Resta, Jan 15 2014

STATUS

approved

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Last modified January 28 11:57 EST 2022. Contains 350656 sequences. (Running on oeis4.)