A204852 Primes p such that p, p+90 and p+180 are three consecutive primes.

36598517, 58117727, 59083049, 64590133, 75138781, 83877953, 93155549, 118260929, 151948711, 159884693, 255518401, 316625693, 324966667, 342200933, 355218427, 377291533, 409498799, 418411663, 440947181, 451333889, 453332333, 516408941, 518853383, 531911293

Offset

1,1

Comments

Subsequence of A204764:

a(1..8)=A204764(906, 1639, 1673, 1895, 2319, 2671, 3049, 4169).

The first term p such that p, p+90, p+180 and p+270 are four consecutive primes is a(444)=4480114337=A000040(211619177).

Links

Zak Seidov and Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Mathematica

Select[Partition[Prime[Range[28*10^6]], 3, 1], Differences[#]=={90, 90}&][[;; , 1]] (* Harvey P. Dale, Oct 18 2024 *)

Crossrefs

Cf. A000040, A204764.

Sequence in context: A253984 A081641 A251372 * A345630 A346285 A364704

Adjacent sequences: A204849 A204850 A204851 * A204853 A204854 A204855

Keyword

nonn,changed

Author

Zak Seidov, Jan 19 2012

Status

approved