log(m)'s close to integers, various log bases

Neil Fernandez primeness at borve.demon.co.uk
Tue Jan 21 05:10:14 CET 2003


In message <Pine.LNX.4.44.0301202025080.17633-100000 at eva117.cs.ualberta.
ca>, Jim Nastos <nastos at cs.ualberta.ca> writes
>On Tue, 21 Jan 2003, Neil Fernandez wrote:
>
>> >7881196 -
>> >12752043 +
>> >20633239 +
>> 
>> I get:
>> 
>> log_phi(20633239)=34.9999999999999951187742...
>
>  I confirm. Very strange. My same code now gives 20633239 -  ... I'm not 
>sure what happened. But now I'm getting the following consecutive "+"s , 
>and Maple confirms they are both slightly above an integer. Someone should 
>confirm that these are indeed consecutive terms, though.
>
>3010349 -
>4870847 +
>7881196 -
>12752043 +
>20633239 -
>33385282 +
>87403803 +

I get the above too but 54018521 (-) should be on the list between the
last two terms mentioned.

log_phi(33385282)=35.000000000000001864462320812981771451985064099516
log_phi(54018521)=35.999999999999999287838764192951002474040378463974
log_phi(87403803)=37.000000000000000272021386608164000836163367085174

Neil

-- 
Neil Fernandez





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