Problems & Puzzles:
A smaller Sierpinski integer
divided by 3
On July 27, 2023, Arkadiusz Wesolowski
wrote for the Problem 49:
"I found a 19-digit Sierpinski number
that is divisible by three:
k1 = 7592506760633776533
3^4 × 67 × 1399024647251479
This is the first known example with 19 digits"
later (August 1, 2023) he
probably the smallest such number.
And I believe
(high probability bordering on certainty) that
there are no such numbers with 17 digits (I
used the Chinese remainder theorem and brute
force algorithm in searching)."
Q.Can you try
to get a smaller Sierpinski number less that the gotten
by Arkadiuz or confirm his claim?