The OEIS is supported by the many generous donors to the OEIS Foundation.

A365767
a(n) is the number of primes between (prime(n))^3 and (prime(n+1))^3.
0
5, 21, 38, 149, 110, 329, 226, 575, 1250, 521, 1966, 1656, 939, 2127, 3830, 4665, 1768, 5883, 4535, 2387, 8007, 5968, 9965, 15293, 8508, 4457, 9513, 4974, 10458, 42153, 13671, 21959, 7750, 41767, 9007, 28180, 30226, 21322, 33813, 35899, 12506, 66241, 14003, 28809, 14848, 94735
OFFSET
1,1
FORMULA
a(n) = A038098(A000040(n+1)) - A038098(A000040(n)).
EXAMPLE
a(2) = 21 because between prime(2)^3 = 9 and prime(3)^3 = 125 there are 21 primes. {11,13,17,19
MAPLE
A:= [seq(numtheory:-pi(ithprime(i)^3), i=1..30)]:
A[2..-1] - A[1..-2];
CROSSREFS
First differences of A086688.
Sequence in context: A341198 A038844 A303521 * A372518 A147345 A146022
KEYWORD
nonn
AUTHOR
Zak Seidov and Robert Israel, Sep 18 2023
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 20 06:55 EDT 2024. Contains 376067 sequences. (Running on oeis4.)