A052195 Primes p such that p, p+30, p+60 are consecutive primes.

69593, 110651, 134609, 228647, 237791, 250889, 303157, 318919, 396449, 421913, 498271, 507431, 535243, 554317, 629623, 642427, 642457, 668243, 692161, 716003, 729791, 780523, 782581, 790897, 801217, 825131, 829289, 847393, 892291, 902873, 940097, 942449, 963913, 995243, 1027067

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

OEIS wiki, Consecutive primes in arithmetic progression: CPAP with given gap, updated Jan. 2020

Formula

A052195 = { A124596(n) | A124596(n+1) = A124596(n) + 30 }. - M. F. Hasler, Jan 02 2020

Example

69593, 69623, 69653 are consecutive primes with equal distance d=30.
110651, 110681 and 110711 are consecutive primes with equal distance d=30.

Mathematica

Select[Partition[Prime[Range[80000]], 3, 1], Differences[#]=={30, 30}&][[All, 1]] (* Harvey P. Dale, May 03 2018 *)

Prog

(PARI) vecextract(A124596, select(t->t==30, A124596[^1]-A124596[^-1], 1)) \\ Terms of A124596 with indices of first differences of 30. Gives a(1..230) from A124596(1..10^4). - M. F. Hasler, Jan 02 2020

Crossrefs

Cf. A047948 (analog for gap 6), A052188 (gap 12), A052189 (gap 18), A052190 (gap 24), A053075 (a(n) + 30).

Cf. A001223 (gaps), A124596 (primes followed by gap 30), A052243 (quadruplets with gap 30), A033451 (quadruplets with gap 6).

Sequence in context: A205588 A162874 A162989 * A089218 A224324 A053075

Adjacent sequences: A052192 A052193 A052194 * A052196 A052197 A052198

Keyword

nonn

Author

Labos Elemer, Jan 28 2000

Status

approved