A072916 needs correction

David Wilson davidwwilson at comcast.net
Thu Sep 22 20:55:54 CEST 2005


Note this line:

%e A072916 a(2)=7, as seven primes 11, 13, 17, 19, 23, 29, 31 divided by their order give numbers between 2 and 3.

What may have offended the author is the fact that 2/1 does not lie strictly between 2 and 3.  But still, ignoring
m = 1, which is a valid prime index, invalidates the sequence description, hence my suggested correction.

Is everyone in agreement here that A072916 should be corrected?

----- Original Message ----- 
  From: Graeme McRae 
  To: Sequence Fans 
  Sent: Thursday, September 22, 2005 2:39 PM
  Subject: Re: A072916 needs correction


  It is interesting that the comment in sequence A072916 explicitly states, "First 12 Floor[Prime[m]/m]'s are: 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3 Remove first term and count ones, twos etc and get the sequence: 3,7,19.." so I wonder: why remove the first term?  Is this sequence looking for the largest number of *consecutive* n's for each n?  If so, then other elements besides just the first must also be removed, and the sequence becomes 3, 7, 19, 38, 108, 253, 609, ...
  --Graeme
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