A062408 -id:A062408 - cp's OEIS frontend

A067559 Numbers n such that floor(Pi*n^2) is prime.

1, 6, 17, 31, 34, 41, 45, 50, 51, 61, 69, 73, 74, 81, 103, 108, 111, 142, 148, 175, 192, 201, 202, 203, 232, 234, 273, 277, 281, 310, 319, 329, 342, 348, 349, 351, 378, 387, 416, 421, 428, 435, 459, 478, 486, 521, 526, 575, 593, 597, 603, 605, 623, 648, 661

Offset: 1

Joseph L. Pe, Jan 29 2002

			Floor[Pi*6^2] = 113, a prime, so 6 is a term of the sequence.

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A062408.

Select[Range[1, 10^3], PrimeQ[Floor[Pi * #^2]] &]

is(n)=isprime(floor(Pi*n^2)) \\ Charles R Greathouse IV, May 22 2017

A077546 Primes of the form floor(n*Pi).

Original entry on oeis.org

3, 31, 37, 43, 47, 53, 59, 97, 103, 109, 113, 131, 157, 163, 179, 191, 197, 223, 229, 241, 251, 257, 263, 307, 311, 317, 367, 373, 383, 389, 433, 439, 449, 461, 499, 521, 571, 587, 593, 631, 647, 653, 659, 691, 709, 719, 757, 769, 797, 823, 829, 857, 863, 907

Offset: 1

Amarnath Murthy, Nov 09 2002

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Keenan Monks, Sarah Peluse, Lynnelle Ye, Strings of special primes in arithmetic progressions, arXiv:1407.1290 [math.NT], 2014.

Cf. A062408.

Select[Floor[Range[0,100000]*Pi],PrimeQ] (* Vincenzo Librandi, Dec 09 2011 *)

lista(nn) = {for (n=1, nn, if (isprime(p=floor(Pi*n)), print1(p, ", ")););} \\ Michel Marcus, Jul 07 2014

select(isprime, [1..1000]*Pi\1) \\ Charles R Greathouse IV, Jul 07 2014

More terms from Sascha Kurz, Jan 12 2003

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A067559 Numbers n such that floor(Pi*n^2) is prime.

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A077546 Primes of the form floor(n*Pi).

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