Definition:Strong Fibonacci Pseudoprime/Type II

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

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