bibkey: laboselemer2002a049591 authors: Labos Elemer; Benoit Cloitre year: 2002 title: “OEIS A049591, Odd primes p such that p+2 is composite” doi: null url: https://oeis.org/A049591 claim: “A049591 %N: Odd primes p such that p+2 is composite. A049591 %C: Sequence appears also to give all n > 1 such that there is no prime p satisfying the inequality n < p < n+tau(n)^2 where tau(n)=A000005(n). - Benoit Cloitre, Apr 13 2002 Labos Elemer” strata_touched:

• D5/S0/Certificates/CloitrePrimeGapDivisorCharacterizationRefutation license: citation-only triage: anchor

OEIS A049591

The NAME of A049591 states:

Odd primes p such that p+2 is composite.

Benoit Cloitre’s COMMENT of April 13, 2002 states:

Sequence appears also to give all n > 1 such that there is no prime p satisfying the inequality n < p < n+tau(n)^2 where tau(n)=A000005(n).

The AUTHOR line is:

Labos Elemer

Verified locator

• URL: https://oeis.org/A049591
• NAME (verbatim): Odd primes p such that p+2 is composite.
• COMMENT characterization (verbatim): Sequence appears also to give all n > 1 such that there is no prime p satisfying the inequality n < p < n+tau(n)^2 where tau(n)=A000005(n).

Only Cloitre’s gap characterization is refuted: 529 satisfies the stated interval condition but is not a sequence term; the NAME definition and all other comments remain untouched.