A surprising conjecture about the gaps between primes, namely: Let
denote the ordered sequence of prime numbers
, and define each term in the sequence
by
,
where
is positive. Also, for each integer
greater than 1, let the terms in
be given by
.
Gilbreath's conjecture states that every term in the sequence
is 1. With this Demonstration you can check this amazing statement up to the
difference series. The controls let you see the matrix of
, where
goes from
to
, and
goes from 1 to
. (If
, they switch roles. )
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