The prime distance
of a nonnegative integer
is the absolute difference between and the nearest prime. It
is therefore true that
for primes .
The first few values for ,
1, 2, ... are therefore 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, ... (OEIS A051699).
The values of
having prime distances of 0, 1, 2, 3, ... are 2, 1, 0, 26, 93, 118, 119, 120, 531,
532, 897, ... (OEIS A077019).
of a nonnegative integer 
is the absolute difference between 
and the nearest prime. It
is therefore true that 
for primes 
.
The first few values for 
,
1, 2, ... are therefore 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, ... (OEIS A051699).
The values of 
having prime distances of 0, 1, 2, 3, ... are 2, 1, 0, 26, 93, 118, 119, 120, 531,
532, 897, ... (OEIS A077019).
