A139512: Mod[a(n),12]=1

zak seidov zakseidov at yahoo.com
Fri Apr 25 20:51:04 CEST 2008


Are all terms a(n) == 1 (mod 12)?

thanks, zak

%I A139512 %S A139512
229,349,409,421,661,769,829,1021,1069,1249,1381,1429,1549,1789,1801,
1861,2089,2161,2269,2389,3001,3061,3109,3181,3229,3469,3889,4021,4129,

4201,4441,4861,4909,5101,5449,5521,5869,5881,6121,6469,6481,6529,6781

%N A139512 Primes of the form x^2+32x*y+y^2. %t
A139512 a = {}; w = 32; k = 1; Do[Do[If[PrimeQ[n^2 +
w*n*m + k*m^2], AppendTo[a, n^2 + w*n*m + k*m^2]], {n,
m, 400}], {m, 1, 400}]; Union[a] (*Artur Jasinski*) %Y
A139512 Cf. A139489, A007645, A068228, A007519,
A033212, A033212, A107152, A107008, A033215, A107145,
A139490, A139491. %K A139512 nonn,new %O A139512 1,1
%A A139512 Artur Jasinski (grafix(AT)csl.pl), Apr 24
2008 


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