Zeisel Number

A number $N = p_1 p_2\cdots p_k$ (where the $p_i$s are distinct Primes) such that

$$p_n = A p_{n-1}+B,$$

with $A$ and $B$ constants and $p_0\equiv 1$. For example, $1885=1\cdot 5\cdot 13\cdot 29$ and $114985=1\cdot 5\cdot 13\cdot 29\cdot 61$ are Zeisel numbers with $(A,B)=(2,3)$.

References

Brown, K. S. ``Zeisel Numbers.'' http://www.seanet.com/~ksbrown/kmath015.htm.