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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A099154 Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes. 0
 122, 213, 502, 545, 922, 950, 749, 1098, 1330, 1450, 1634, 1623, 2135, 2110, 2177, 2244, 2760, 2413, 2556, 3280, 3454, 3211, 3740, 3540, 4104, 4096, 4391, 4457, 4592, 5309, 4758, 5720, 5747, 5295, 5902, 5456, 5920, 6395, 5810, 7007, 7109, 7450, 7540 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The terms of this sequence are conjectural, even under the twin prime conjecture. LINKS Table of n, a(n) for n=0..42. Eric Weisstein's World of Mathematics, Twin Primes. Eric Weisstein's World of Mathematics, Twin Prime Conjecture. EXAMPLE a(1)=213 because the interval [213^2,214^2]=[45369,45796] contains one pair of twin primes (45587,45589) whereas all higher intervals are conjectured to contain at least two pairs of twin primes. The interval [122^2,123^2]=[A091592(11)^2,(A091592(11)+1)^2] is conjectured to be the last interval between two consecutive squares containing no twin primes. CROSSREFS Cf. A091591 number of pairs of twin primes between n^2 and (n+1)^2, A091592 numbers n such that there are no twin primes between n^2 and (n+1)^2, A014574. Sequence in context: A222578 A105983 A356369 * A304605 A158131 A004925 Adjacent sequences: A099151 A099152 A099153 * A099155 A099156 A099157 KEYWORD nonn AUTHOR Hugo Pfoertner, Sep 30 2004 STATUS approved

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

Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)