Tuesday, January 31, 2017

What's so special about 10928094208 in base 77?

One of my current recreational arithmetic side projects is creating a b-file (a longer list of the sequence) for OEIS A281335. 10928094208 is the smallest solution in base 77:

(4,2,67,10,58,31) = 2^10 * 31 * (58,4,67)

The digits of the number (on the left) are matched by the digits of its factorization (on the right). The solution for base 73 is an even bigger number — but I haven't yet figured it out!

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