20051112, 16:54  #1 
Feb 2004
France
3×311 Posts 
A property about the order of divisors of (Mq1)/2
Let q prime and prime.
Let define: the least i such that . is the Euler function (number of numbers lower than d and coprime with d). Then, if with d>1 , then and . Is that wellknown ? (It is a consequence of a paper I'm reading now) Examples: etc etc Tony 
20051112, 23:36  #2 
Feb 2004
France
933_{10} Posts 
A property of divisors of Mq ?
I've checked only with some q primes (109, 103, 101, 97, 83, 37, 13, 7) , but it seems that:
, where is the least i such that . Is this property already wellknown ? Tony 
20051113, 13:13  #3  
Feb 2004
France
3×311 Posts 
Quote:
What about the property in first post of this thread ? (This property is not mine. So it is probably less stupid than my own tries.) (In the examples, should be: .) Tony 

20051114, 18:23  #4  
Nov 2005
2^{4}·3 Posts 
Quote:
The definition of order you give is different from the commonly accepted one, which has 1 instead of . You may wish to consider switching. Hope this helps, John 

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