Definition:Strong Fibonacci Pseudoprime/Type II

Definition
A strong Fibonacci pseudoprime of type II is a Carmichael number $N = \displaystyle \prod p_i$ such that an odd number of the prime factors $p_i$ are of the form $4 m - 1$ where:
 * $2 \left({p_i + 1}\right) \mathrel \backslash \left({N - p_i}\right)$ for all $p_i$

where:
 * $N = \displaystyle \prod p_i$ is the prime decomposition of $N$
 * $\backslash$ denotes divisibility.