[seqfan] A167827 Prime numbers such that the hexadecimal representation use only the digits A, B, C, D, E, F (and not the decimal digits).

Jonathan Post jvospost3 at gmail.com
Fri Nov 13 21:28:08 CET 2009


I'm having problems with
A167827 		Prime numbers such that the hexadecimal representation use
only the digits A,B,C,D,E,F (and not the decimal digits).

To start, using the U.Nice base converter,
http://wims.unice.fr/wims/wims.cgi
I get:

a(3) = 113 base 10 = 71 (base 16)  which checks because (7 * 16) + 1 =
113, granted 71 (base 10) is also prime, but is not "letters"
a(4) = 131 base 10 = 83 (base 16) which is also prime as 83(base 10)
but not "letters"

I was expecting something that I could intersect with

A132675 	Decimal number representations of hexadecimal numbers whose
form spells an American-English word found in a standard dictionary in
lexicographic order.

In that latter seq, the first primes (as read in base 10) seems to be:
A132675 (8) = 44269
A132675 (9) = 173
no more through
A132675 (33) .




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