Bertrand's postulate for Carmichael numbers is the theorem that, for every and all sufficiently large
(depending on
), there are at least
Carmichael
numbers between
and
(Larsen 2023). In particular, there
is a Carmichael number between
and
for every sufficiently large
.
Alford et al. (1994) posed the question after proving that there are infinitely many Carmichael numbers. Larsen's result answers it with the stronger short-interval bound above.