Composites Between Adjacent Primes

[franktaw at netscape.net]

Actually, the answer is yes.  See http://mathworld.wolfram.com/BertrandsPostulate.html; the paragraph starting "an extension of this result".  Not exactly the theorem requested, but it follows easily.
 
Franklin T. Adams-Watters
16 W. Michigan Ave.
Palatine, IL 60067
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-----Original Message-----
From: franktaw at netscape.net


The answer is almost certainly yes.  ...
 
-----Original Message-----
From: Leroy Quet qq-quet at mindspring.com

...
Is there always only one composite between each pair of adjacent primes, 
p(n) and p(n+1), which is divisible by the highest prime dividing any 
composite between p(n) and p(n+1)?
...
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