Problems & Puzzles: Puzzles

Puzzle 729. Consecutive Hoax numbers (extending the OEIS sequence A235766)

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

The OEIS sequence A235766 shows the first term of the least sequence of n consecutive Hoax numbers a(n), for n=1, 2,... , 8

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

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.

Q. Can you find some few next terms in this sequence?


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