[seqfan] A051501

franktaw at netscape.net franktaw at netscape.net
Fri Jul 31 04:05:09 CEST 2009

I have a couple of problems with 
I'm not sure how to fix them.

First, the comment from T. D. Noe; specifically the statement that the 
largest known prime ... is only 2^32582657-1.  This statement is out of 
date; as far as I can tell, the largest known prime is currently 
2^43112609-1.  This could obviously be corrected; but, it will likely 
become out of date again.  I guess what is needed is a reference to a 
web site with the largest known primes.

Second, the "Extension": "The next term is too large to display and in 
any case b is not known sufficiently accurately to compute it."  This 
suggests that one would compute more terms of the sequence by getting a 
sufficiently accurate value of b, and plugging it into the formula.  In 
fact, just the opposite is the case: one would get a more accurate 
value of b by determining the next term of the sequence, and working 
backwards to determine what value of b that corresponds to.  (Not that 
anyone is likely to do that anytime soon.)  I'm not sure how to reword 
this so that it is less misleading.

Franklin T. Adams-Watters

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