|
| |
|
|
A073124
|
|
a[n]=prime[1+prime(n)]-prime[prime[n]].
|
|
8
| |
|
|
2, 2, 2, 2, 6, 2, 2, 4, 6, 4, 4, 6, 2, 2, 12, 10, 4, 10, 6, 6, 6, 8, 2, 2, 12, 10, 6, 6, 2, 2, 10, 4, 14, 12, 4, 4, 10, 4, 6, 2, 6, 4, 10, 10, 12, 6, 4, 14, 6, 4, 10, 12, 8, 4, 6, 24, 10, 6, 2, 8, 14, 18
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Number of entries in {x,..} such that PrimePi[x]=Prime[n].
|
|
|
FORMULA
| a(n) = Card{x; A000720(x) = A000040(n)}
|
|
|
EXAMPLE
| n = 25: p(25) = 97, Pi[x] = 97 holds for 12 numbers: X = {509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520} so a(25) = 12. Largest 520 = A073123(25), smallest = A006450(25).
|
|
|
MATHEMATICA
| Table[Prime[Prime[n]+1]-Prime[Prime[n]], {n, 1, 256}]
|
|
|
CROSSREFS
| Cf. A000720, A000040, A006450, A073123.
a[n]=A072677(n)-A006450(n)
Sequence in context: A079894 A114005 A103794 * A070877 A156717 A198889
Adjacent sequences: A073121 A073122 A073123 * A073125 A073126 A073127
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 16 2002
|
| |
|
|