bibkey: price2013a231329 authors: Robert Price year: 2013 title: “OEIS A231329, Numbers n such that (19^n + 4^n)/23 is prime” doi: null url: https://oeis.org/A231329 claim: “%N Numbers n such that (19^n + 4^n)/23 is prime. %C Conjecture: All terms are prime.” strata_touched:

• D5/S3/Arith/Congruence/PricePrimeQuotientExponent license: citation-only triage: anchor

OEIS A231329

Robert Price authored the entry, and its target COMMENT has no separate signature. The conjecture is therefore attributed to the entry author.

The general prime-quotient exponent lemma shared with A228558 settles this comment. The classical odd-power factorization behind the lemma is cited as background, not claimed as a new result.

Verified locator

• URL: https://oeis.org/A231329
• NAME (%N, verbatim): Numbers n such that (19^n + 4^n)/23 is prime.
• COMMENT (%C, verbatim): Conjecture: All terms are prime.

The formal result settles only the quoted conjecture. The search-bound comment, infinitude, and primality of particular terms are not claimed.