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

Author

Jonathan Vos Post, Apr 16 2005

Keywords

• base
• easy
• fini
• nonn

Comments

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A007968, A036746.

Formula

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