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

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

Offset: 1

Author

Carlos Rivera, Jan 15 2014

Keywords

• nonn
• hard
• more
• base

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.

Examples

			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.
		

Links

• Shyam Sunder Gupta, Smith Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157.
• Giovanni Resta, Hoax numbers.
• Eric Weisstein's World of Mathematics, Hoax Number.

Crossrefs

Cf. A019506.

Extensions

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