nontotient
An integer is called a nontotient if , where is the totient valence function
. This is the case of any odd integer greater than 1. This is also the case of twice a prime that isn’t a Sophie Germain prime
, one more than a prime, an oblong number that is the product of a prime and one more or less than that prime, etc.
Sloane’s OEIS lists even values in A005277 and all values together in A007617.