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A349997 Numbers k such that the number of primes in any interval [j^2,(j+1)^2], j>k, is not less than the number of primes in the interval [k^2,(k+1)^2]. 5
1, 7, 11, 17, 18, 26, 27, 32, 46, 50, 56, 58, 85, 88, 92, 137, 143, 145, 152, 157, 178, 188, 194, 200, 201, 208, 225, 232, 253, 263, 279, 297, 327, 331, 339, 360, 433, 451, 485, 506, 536, 541, 607, 696, 708, 717, 768, 799, 801, 806, 904, 913, 1015, 1059, 1110, 1111 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
A014085(k) >= A014085(a(n)) for all k >= a(n).
EXAMPLE
a(1)=1: the interval [1^2, 2^2] contains A349999(1)=2 primes {2, 3}, and no later interval contains less than 2 primes.
a(2)=7: the interval [7^2, 8^2] contains A349999(2)=3 primes {53, 59, 61}, and no later interval contains less than 3 primes.
a(12)=58: the interval [58^2, 59^2] contains A349999(12)=13 primes {3371, ..., 3469}, and no later interval contains less than 13 primes.
a(13)=85: the interval [85^2, 86^2] contains A349999(13)=16 primes {7229, ..., 7393}, and no later interval contains less than 16 primes.
CROSSREFS
Sequence in context: A131626 A086762 A296305 * A076045 A101618 A147956
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Dec 09 2021
STATUS
approved

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Last modified July 18 06:32 EDT 2024. Contains 374377 sequences. (Running on oeis4.)