|
Search: id:A091592
|
|
|
| A091592 |
|
Numbers n such that there are no twin primes between n^2 and (n+1)^2. |
|
+0 5
|
|
| 9, 19, 26, 27, 30, 34, 39, 49, 53, 77, 122
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The first 7 terms of this sequence were given by Ernst Jung in a discussion in the Newsgroup de.sci.mathematik entitled "Primzahlen zwischen (2x-1)^2 und (2x+1)^2" (primes between ...and...) with other significant contributions from Hermann Kremer and Rainer Rosenthal. It is conjectured that there are no further terms beyond a(11)=122. This has been tested to 50000 by Robert G. Wilson v (rgwv(AT)rgwv.com).
|
|
LINKS
|
Hugo Pfoertner, Illustration of record gaps between pairs of twin primes.
Eric Weisstein's World of Mathematics, k-Tuple Conjecture Section in World of Mathematics.
Eric Weisstein's World of Mathematics, Twin Prime Conjecture Section in World of Mathematics.
|
|
EXAMPLE
|
a(1)=9 because no twin primes are found in the interval [9^2,10^2].
|
|
CROSSREFS
|
Cf. A091591, A036061, A036063.
Sequence in context: A075981 A079368 A106677 this_sequence A090065 A098791 A041156
Adjacent sequences: A091589 A091590 A091591 this_sequence A091593 A091594 A091595
|
|
KEYWORD
|
hard,nonn
|
|
AUTHOR
|
Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 25 2004
|
|
|
Search completed in 0.002 seconds
|