A104102 Number of primes >= p(n)# and < p(n)# + p(n+1)^2 where p(i)=i-th prime, p(i)#=i-th primorial.

4, 7, 11, 21, 24, 29, 25, 38, 42, 37, 58, 54, 45, 60

Offset

1,1

Comments

Conjecture: a(n) is always > p(n+1)

Links

Table of n, a(n) for n=1..14.

Example

p(1)#=2 p(1)#+p(2)^2=11 2 3 5 7 are >=2 and <11 so a(1)=4.
p(2)#=6 p(2)#+p(3)^2=31 7 11 13 17 19 23 29 are >=6 and < 31 so a(2)=7.

Crossrefs

Sequence in context: A091176 A002974 A130625 * A074705 A352216 A288111

Adjacent sequences: A104099 A104100 A104101 * A104103 A104104 A104105

Keyword

nonn

Author

Pierre CAMI, Mar 04 2005

Status

approved