

A164266


The count of primes between the nth and (n+1)st perfect number.


0




OFFSET

1,1


LINKS



FORMULA



EXAMPLE

a(1)=6 counts the 6 primes 7, 11, 13, 17, 19 and 23 between 6 and 28.
a(2)=85 counts the 85 primes 29, 31, ..., 487, 491 between 28 and 496.


MATHEMATICA

PrimePi[Last[#]]PrimePi[First[#]]&/@(Partition[(# (#+1))/2&/@ Select[ 2^Range[30]1, PrimeQ], 2, 1]) (* Harvey P. Dale, Dec 27 2011 *)


CROSSREFS



KEYWORD

nonn,hard


AUTHOR



EXTENSIONS



STATUS

approved



