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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A349998 Numbers k such that the number of primes in any interval [j^2,(j+1)^2], j>k exceeds the number of primes in the interval [k^2,(k+1)^2]. 5
 5, 9, 14, 17, 23, 26, 30, 42, 49, 55, 56, 80, 85, 89, 119, 137, 143, 149, 156, 174, 178, 188, 194, 200, 207, 219, 228, 247, 261, 263, 279, 297, 327, 335, 356, 425, 433, 451, 485, 506, 536, 600, 607, 696, 708, 749, 768, 799, 801, 898, 904, 955, 1015, 1059, 1110 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Hugo Pfoertner, Table of n, a(n) for n = 1..525 FORMULA A014085(k) > A014085(a(n)) for all k > a(n). EXAMPLE a(1)=5: There are 2 = A349999(1) primes {29, 31} between 5^2 and 6^2. All intervals between squares above contain at least 3 primes. a(2)=9: The interval [9^2, 10^2] is the last interval containing not more than 3 = A349999(2) primes {83, 89, 97}. a(12)=80: The interval [80^2,81^2] is the last interval containing not more than 13 = A349999(12) primes {6421, ..., 6553}. a(13)=85: The interval [85^2,86^2] is the last interval containing not more than 16 = A349999(13) primes {7229, ..., 7393}. CROSSREFS Cf. A014085, A349997, A349999. Sequence in context: A314812 A314813 A084597 * A314814 A314815 A314816 Adjacent sequences: A349995 A349996 A349997 * A349999 A350000 A350001 KEYWORD nonn AUTHOR Hugo Pfoertner, Dec 09 2021 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 August 11 07:13 EDT 2024. Contains 375059 sequences. (Running on oeis4.)