Question concerning A092749.

[f.firoozbakht at sci.ui.ac.ir]

Quoting "Robert G. Wilson v" <rgwv at rgwv.com>:

> Et al,
> 
> 	I believe that this is simply Euler's "Lucky" numbers: n such that
> m^2-m+n is 
> prime for m=0..n-1,
> http://www.research.att.com/projects/OEIS?Anum=A014556 .
> 
> Bob.
> 
> %I A092749
> %S A092749
> 2,3,5,5,11,11,11,11,11,11,17,17,17,17,17,17,41,41,41,41,41,41,41,41,41,
> %T A092749 41,41,41,41,41,41,41,41,41,41,41,41,41,41,41
> %N A092749 a(n) = least k such that m^2 + m + k is prime for m = 0, 1,
> ... n-1.
> %e A092749 a(2) = 3 because 0^2 + 0 + 3 = 3 is prime, and 1^2 + 1 + 3 =
> 5 is 
> prime, and it is the smallest number with the required properties.
> %K A092749 more,nonn,new
> %O A092749 1,1
> %A A092749 Gabriel Cunningham (gcasey(AT)mit.edu), Apr 12 2004
> 
> 

Dear Bob,

I believe that the relation between A014556 and A092749 is:

A092749(1)=A014556(1) ;A092746(A014556(j)+k)=A014556(j+1)
for k=0,1,...,A014556(j+1)-A014556(j)-1  (j>0)

Farideh



----------------------------------
This mail sent through UI webmail.