Composites Among [ξ 7^n] and Right-Truncatable Primes in Base 7
Statement
For every real the sequence of integer parts , , contains infinitely many composite numbers. Second, there is no infinite right truncatable prime in base~.
Context
A concrete question in the Forman-Shapiro tradition, posed for base 7 by Dubickas and Novikas in 2005 and open twenty-one years. Specialist but genuinely standing - level with the numbered-Erdos band at 10.
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After showing that a finite computation can provably resolve the problem, it wrote programs to do the computation, resulting in a checkable certificate. It then was directed to formalize all proofs and the certificate check in Lean. Finally it was directed to write a draft of the paper from the Lean.
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