|
Search: id:A079636
|
|
|
| A079636 |
|
Smallest number whose reciprocal fits in the square-root gap of consecutive primes. |
|
+0
1
|
|
| 4, 2, 3, 2, 4, 2, 5, 3, 2, 6, 2, 4, 7, 4, 3, 3, 8, 3, 5, 9, 3, 5, 4, 3, 5, 11
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Is the limit of sqrt(P_(n+1)) - sqrt(P_n) 0?
|
|
REFERENCES
|
Jim Ferry, sci.math, Jan 30 2003
|
|
FORMULA
|
a(n) = ceiling(1/(w'-w)) where w=sqrt(p(n)) and w'=sqrt(p(n+1))
|
|
EXAMPLE
|
a(3) = 3 because p(3)=5, p(4)=7, w=sqrt(5) w'=sqrt(7) and 1/(w'-w)=2.44.
|
|
CROSSREFS
|
Cf. A000040.
Sequence in context: A018845 A028947 A068152 this_sequence A087229 A019614 A051528
Adjacent sequences: A079633 A079634 A079635 this_sequence A079637 A079638 A079639
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Rainer Rosenthal (r.rosenthal(AT)web.de), Jan 30 2003
|
|
|
Search completed in 0.002 seconds
|
