A229030 Smallest of the first six consecutive primes that comprise three sets of primes with difference 2*n.

5, 7, 251, 683, 2017, 18679, 13499, 608131, 97213, 937127, 891997, 531359, 490283, 637171, 892321, 21954731, 5995783, 3440627, 12024413, 3697249, 2674579, 95270633, 165066283, 25091659, 465512447, 161732947, 88360297, 804346451, 286775719, 198215821

Offset

1,1

Comments

An equivalent definition of this sequence: smallest prime which gives a cluster of primes with the spacing pattern 2*n; x; 2*n; x; 2*n, x > 0.

A229033 gives the record values.

Links

Table of n, a(n) for n=1..30.

Index entries for primes, gaps between

Example

Difference two - primes: 5, 7, 11, 13, 17, 19.
Difference four - primes: 7, 11, 13, 17, 19, 23.
Difference six - primes: 251, 257, 263, 269, 271, 277.

Mathematica

Table[With[{prs=Partition[Prime[Range[42000000]], 6, 1]}, Select[prs, Union[ Take[ Differences[#1], {1, 5, 2}]]=={2n}&, 1][[1, 1]]], {n, 30}] (* Harvey P. Dale, Apr 18 2014 *)

Crossrefs

Cf. A000230, A133429, A133430, A226657, A229021, A229028, A229033, A229034.

Sequence in context: A297535 A211769 A265031 * A229033 A187022 A196309

Adjacent sequences: A229027 A229028 A229029 * A229031 A229032 A229033

Keyword

nonn

Author

Arkadiusz Wesolowski, Sep 11 2013

Status

approved