super-Poulet number
A super-Poulet number is a Poulet number
which besides satisfying the congruence
, each of its divisors
(for ) also satisfies the congruence .
Two examples: 341 is a super-Poulet number, with its divisors being 1, 11, 31 and 341 itself. We verify that and . 341 itself has already been checked when confirmed as a Poulet number. Now, 561 is a Poulet number but not a super-Poulet number since one of its divisors, 33, does not satisfy the congruence: .
The first few super-Poulet numbers are 341, 1387, 2047, 2701, 3277, 4033, 4369, 4681, 5461, 7957, 8321, which are listed in A050217 of Sloane’s OEIS.