A380135 High water marks for number of primes between prime(n)^2 and prime(n+1)^2.

2, 5, 6, 15, 22, 27, 47, 57, 80, 90, 106, 114, 163, 354, 356, 463, 479, 512, 735, 784, 934, 995, 1513, 1652, 1772, 1808, 2648, 2821, 3551, 6357, 6815, 8280, 10424, 11328, 12113, 15399, 17121, 18692, 20769, 22358, 23404, 24561, 26123, 26764, 27871, 31916, 37558

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Eric Weisstein's World of Mathematics, Brocard's Conjecture.

Crossrefs

Cf. A380136 (Positions of high water marks for the numbers of primes between prime(n)^2 and prime(n+1)^2).

Cf. A050216 (Number of primes between (prime(n))^2 and (prime(n+1))^2).

Sequence in context: A193402 A193405 A037079 * A101325 A042980 A048290

Adjacent sequences: A380132 A380133 A380134 * A380136 A380137 A380138

Keyword

nonn

Author

Eric W. Weisstein, Jan 13 2025

Status

approved