|
| |
|
|
A089609
|
|
Prime number of primes between squares of consecutive primes; or, primes occurring in A050216.
|
|
2
| |
|
|
2, 5, 11, 47, 163, 89, 463, 479, 199, 107, 241, 151, 709, 151, 599, 313, 547, 211, 613, 859, 863, 241, 1217, 1091, 827, 311, 967, 1327, 691, 1109, 1123, 829, 389, 821, 857, 431, 1301, 433, 1451, 1933, 3449, 5701, 1753, 4663, 563, 3557, 4253, 1867, 4447
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| For small values of n, these numbers exhibit higher and lower values as n increases. Conjecture: There exists an n such that seq(n1) is < seq(n1+1) for for all n1 >= n.
|
|
|
PROG
| (PARI) \ prime number of primes between squares. pbetweensq(n) = { for(x=1, n, c=0; for(y=prime(x)^2, prime((x+1))^2, if(isprime(y), c++) ); if(isprime(c), print1(c", ")) ) }
|
|
|
CROSSREFS
| Cf. A000879, A050216.
Sequence in context: A153989 A160859 A106887 * A087185 A127010 A140547
Adjacent sequences: A089606 A089607 A089608 * A089610 A089611 A089612
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Dec 30 2003
|
|
|
EXTENSIONS
| Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 05 2004
|
| |
|
|
