python3 - <<'PY' p=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71] N=1048576 n=[0]*N s=[0]*N q=[0]*N d=[0]*N for m in range(1,N): l=m&(-m) k=l.bit_length()-1 u=m^l n[m]=n[u]+1 s[m]=s[u]+p[k] q[m]=q[u]+p[k]*p[k] d[m]=n[m]*q[m]-s[m]*s[m] ps=[(2,3),(2,5),(2,7),(2,11),(3,5),(3,7)] for a,b in ps: g=b-a mask=(1