Three reversed primes in base 10
Three reversed primes in base 10
Work in base , and write for the digit reversal of a prime . Base-10 ternary reversed-prime conjecture. Every sufficiently large odd integer can be expressed as
The binary reversed-prime representation fails for infinitely many integers in base , including the obstruction at . This conjecture is part of the proposed explanation that the reverse Schnirelmann constant in base should be , with even integers requiring four reversed primes.
Progress summary
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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).
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