Hcabdlog's conjecture
Hcabdlog's conjecture
Let be a fixed base. For a positive integer, write for its digit reversal in base . Then and are primes, and . Hcabdlog's conjecture. Every sufficiently large even number can be expressed as
This conjecture suggests that the exceptional set in the corresponding prime-plus-reversed-prime representation theorem should be . The parity restriction is necessary because is even, so the admissible reversed prime is odd. It is introduced as a simplified variant of a conjecture of Chourasiya and others.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Michael Harm and Daniel R. Johnston, “The reverse Goldbach problem and a refined Zsiflaw–Legeis theorem”, arXiv:2605.21876 (2026).
Additional references
2 papers in this index state this conjecture (2025–2026). The statement above is taken from the most recent of them; the others are arXiv:2503.21136.
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