20050806, 08:40  #1 
Aug 2004
Melbourne, Australia
10011000_{2} Posts 
Naming k.2^n1
Numbers of the form k.2^n+1 with k<2^n are called Proth numbers. But is there a name for numbers of the form k.2^n1 with k<2^n?
And if there isn't, could someone suggest an appropriate name for them? 
20050806, 12:48  #2  
4388_{10} Posts 
Quote:
k.2^n+1 with k<2^n = Proth k.2^n+1 with k<2^n = Robinson (Generally) 

20050806, 15:48  #3 
Aug 2004
Melbourne, Australia
230_{8} Posts 
I thought k.2^n1 was called a Riesel number, however there is another definition that would cause some serious confusion.
An odd number k such that k.2^n1 is composite for all natural numbers n is called a Riesel number. MathWorld has this definition. 
20050815, 17:20  #4 
"Curtis"
Feb 2005
Riverside, CA
12051_{8} Posts 
A Riesel number is a kvalue that produces no Riesel Primes.
A Riesel prime is a prime of the form mentioned. The semantics are confusing, but the definitions are not. Curtis 
20050820, 17:35  #5  
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}×3×641 Posts 
Quote:
Are they named after Raphael Mitchel Robinson ( http://wwwgroups.dcs.stand.ac.uk/~...n_Raphael.html )? Last fiddled with by cheesehead on 20050820 at 17:36 

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