A105269 "Long" prime Roman numerals. Smallest prime whose Roman numeral representation has n characters.

5, 2, 3, 13, 23, 37, 83, 233, 283, 383, 887, 2383, 2887

Offset

1,1

Comments

Finite because of ambiguity of representation for n > 3999. This is the prime version of the sequence A036746 defined by John H. Conway.

Links

Table of n, a(n) for n=1..13.

Gerard Schildberger, The numbers from 1 to 3999 expressed as Roman numerals.

Formula

a(n) = Min(k in A000040) such that A006968(k) = n.

Example

5=V, 2=II, 3=III, 13 = XIII, 23 = XXIII, 37 = XXXVIII, 83 = LXXXIII, 233 = CCXXXIII, 283 = CLXXXIII, 383 = CCCLXXXIII, 887 = DCCCLXXXVII, 2383 = MMCCCLXXXIII, 2887 = MMDCCCLXXXVII.

Crossrefs

Cf. A007968, A036746.

Sequence in context: A348779 A226693 A306300 * A248262 A291690 A073943

Adjacent sequences: A105266 A105267 A105268 * A105270 A105271 A105272

Keyword

base,easy,fini,nonn

Author

Jonathan Vos Post, Apr 16 2005

Status

approved