2 problems

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Zero-density conjecture for quotients of antipalindromic numbers
Let $Q_{\rm anti}$ be the set of integers representable as quotients of binary antipalindromic numbers. Zero-density conjecture. The set $Q_{\rm anti}$ has natural density zero. Th…
Conjectureopenantipalindromic-numbers density ratio-setsarXiv posted 2 days ago
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Selfridge–Lacampagne conjecture on quotients of balanced-ternary numbers without zero digits
Let $B = \{1,2,4,5,7,11,13,14,16,20,22,\ldots\}$ be the set of natural numbers whose balanced ternary representation contains no $0$ . Selfridge–Lacampagne conjecture. Every natural…
Conjectureopenbalanced-ternary ratio-sets restricted-digit-representationsarXiv posted 2 days ago

Zero-density conjecture for quotients of antipalindromic numbers