OFFSET
1,1
EXAMPLE
5 = 1 + 2^2 and L(1)*L(2)= (1) *(-1) = -1.
41 = 4^2 + 5^2 and L(4)*L(5)= (1)*(-1) = -1
MAPLE
isA174054 := proc(n)
local x, y ;
if not isprime(n) then
return false;
end if;
for x from 1 do
if x^2 > n then
return false;
end if;
if issqr(n-x^2) then
y := sqrt(n-x^2) ;
return true;
end if;
end if;
end do:
end proc:
for n from 1 to 2000 do
if isA174054(n) then
printf("%d, \n", n) ;
end if;
end do: # R. J. Mathar, Jul 09 2012
MATHEMATICA
lambdaQ[{x_, y_}] := LiouvilleLambda[x]*LiouvilleLambda[y] == -1; Select[ Prime /@ Range[300], Or @@ lambdaQ /@ PowersRepresentations[#, 2, 2] &] (* Jean-François Alcover, Jul 30 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Lagneau, Mar 06 2010
STATUS
approved