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"Long" prime Roman numerals. Smallest prime whose Roman numeral representation has n characters.
2

%I #5 Mar 30 2012 18:40:28

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

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

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

%H Gerard Schildberger, <a href="/A006968/a006968.txt">The numbers from 1 to 3999 expressed as Roman numerals.</a>

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

%e 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.

%Y Cf. A007968, A036746.

%K base,easy,fini,nonn

%O 1,1

%A _Jonathan Vos Post_, Apr 16 2005