



1, 2, 12, 18, 20, 21, 29, 36, 59, 66, 71, 73, 88, 90, 94, 95, 103, 104, 109, 128, 130, 131, 161, 166, 170, 209, 234, 250, 292, 299, 307, 318, 332, 353, 362, 375, 377, 391, 481, 509, 556, 557, 564, 577, 602, 619, 630, 665, 670, 684, 698, 728, 792, 808, 840
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OFFSET

1,2


COMMENTS

Numbers k such that number of primes between k^2 and (k+1)^2 is equal to number of primes between (k+1)^2 and (k+2)^2.
Conjecture: the sequence is infinite.


LINKS

Zak Seidov and Amiram Eldar, Table of n, a(n) for n = 1..3000 (terms 1..2000 from Zak Seidov)


MATHEMATICA

Flatten[Position[Partition[PrimePi[Range[1000]^2], 3, 1], _?(Length[Union[ Differences[#]]]==1&), {1}, Heads>False]] (* Harvey P. Dale, Jun 17 2014 *)


CROSSREFS

Cf. A014085, A144359.
Sequence in context: A266802 A082407 A063576 * A277961 A294998 A323762
Adjacent sequences: A144261 A144262 A144263 * A144265 A144266 A144267


KEYWORD

nonn


AUTHOR

Zak Seidov, Sep 16 2008, Sep 17 2008


STATUS

approved



