bibkey: murthy2002a018800
authors: Amarnath Murthy; David W. Wilson
year: 2002
title: "OEIS A018800, Smallest prime that begins with n"
doi: null
url: https://oeis.org/A018800
claim: "Smallest prime that begins with n. Conjecture: If a(n) = (n concatenated with k) then k < n. - _Amarnath Murthy_, May 01 2002 _David W. Wilson_"
strata_touched:
  - D5/S0/Certificates/MurthyLeastPrimePrefixSuffixRefutation
license: citation-only
triage: anchor

OEIS A018800

The NAME of A018800 states:

Smallest prime that begins with n.

The COMMENTS conjecture is printed as:

Conjecture: If a(n) = (n concatenated with k) then k < n. - Amarnath Murthy, May 01 2002

The AUTHOR line is:

David W. Wilson

The conjecture fails at its first index: a(1) = 11 is 1 concatenated with 1, and 1 < 1 is false; Sloane’s 2014 existence proof is out of scope.

Verified locator

• URL: https://oeis.org/A018800
• NAME (verbatim): Smallest prime that begins with n.
• COMMENTS conjecture line (verbatim): Conjecture: If a(n) = (n concatenated with k) then k < n. - Amarnath Murthy, May 01 2002
• AUTHOR (verbatim): David W. Wilson

The conjecture fails at its first index: a(1) = 11 = 1 concatenated with 1, and 1 < 1 is false; Sloane’s 2014 existence proof is out of scope.