g_values=xrange(2,3)
p_values=primes[0:1000]
h_values=xrange(2,100)
order_false_list=[]

for g in g_values:
    for p in p_values:
        concat_g_p=str(g)+"_"+str(p)
        print "concat_g_p is: "+str(concat_g_p)
        if concat_g_p in order_false_list:
            break
        elif g == p:
            ...
        else:
            for h in h_values:
                if h>=p:
                    #don't want to consider these since solutions of these already dealt with (non-unique)
                    h_solution_found=True
                    break
                else:
                    ...
                    order_false_list.append(concat_g_p)
...