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

Author

Zak Seidov, Jan 19 2012

Keywords

• nonn

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

Crossrefs

Cf. A000040, A204764.

Programs

Mathematica

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