RE all-base composites

[Tanya Khovanova]

Thank you for great comments!

Would there be interesting to add a related sequence - a(n) - is the smallest possible base in which the string n is prime, or 0 otherwise?

Tanya


---------- Original Message ----------------------------------
From: Tautócrona <tautocrona at terra.es>
Date:  Wed, 13 Sep 2006 01:17:46 +0200

>----- Original Message ----- 
>From: <franktaw at netscape.net>
>
>>Actually, you would even get a different sequence of *numerals*.  For
>>example, in base 2,
>>you would get the numerals:
>>100, 110, 1000, 1001, 1010, 1100, 1110, 1111, 10000, 10010, 10100,
>>10101, 10110, 11000, 11010, ...
>>which would be the sequence of numbers:
>>4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, ...
>
>Yes, you are right again! And if I'm thinking it well (which I doubt by now :P), then the 
>base 2 seq is the "fundamental" one because the seq in any other base can be seen as a 
>subset of the fundamental (i.e., if the number N is in the seq for a base B, then the 
>binary representation of N is in the fundamental seq). I would add the base 2 seq instead 
>of the base 10 one, or at least I would contribute both of them! The complementary seq 
>1,2,3,5,7,11,13,17,19,23,25... could be nice too.
>
>Jose 
>
>



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