9 Jun
2011
9 Jun
'11
10:30 p.m.
Marc LeBrun:
you can't fully factorize 5 into "top-right-quadrant" primes exclusively
Mathematica factors Gaussian integers and I just plotted all factors of x + y i for integers x and y from -100 to +100. With the exception of -1 and -i, all other factors are in the top-right quadrant. More specifically: In[1]:= FactorInteger[5,GaussianIntegers->True] Out[1]= {{-I,1},{1+2 I,1},{2+I,1}} I'm going to guess that the "positive" Gaussian quadrant illustrated by Conway and Guy can be rotated into the *top-right* quadrant without loss of the unique-factorization principle.