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A052167 Primes at which difference pattern X2424Y (X and Y >= 6) occurs in A001223. 2
1481, 21011, 22271, 55331, 144161, 165701, 166841, 195731, 201821, 225341, 247601, 268811, 326141, 347981, 361211, 397751, 465161, 518801, 536441, 633461, 633791, 661091, 768191, 795791, 829721, 857951, 876011, 958541, 1008851 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..29.

EXAMPLE

21011 is here because 21011+{2,2+4,2+4+2,2+4+2+4}=21011+{1,6,8,12}= {21013,21013,21017,21019,21023} are consecutive primes but the primes in the immediate neighborhood (21001 and 21031) are in distance 10 and 8. Thus the d-pattern "around 21011" is {10,2,4,2,4,12}.

MATHEMATICA

patQ[n_]:=Module[{d=Differences[n]}, First[d]>5&&Last[d]>5&&Most[ Rest[d]] == {2, 4, 2, 4}]; Transpose[Select[Partition[Prime[ Range[ 80000]], 7, 1], patQ]] [[2]] (* Harvey P. Dale, Dec 11 2013 *)

CROSSREFS

A001223, A052160, A052162-A052168, A022008, A047078.

Sequence in context: A188363 A255789 A159719 * A097024 A253331 A158770

Adjacent sequences:  A052164 A052165 A052166 * A052168 A052169 A052170

KEYWORD

nonn

AUTHOR

Labos Elemer, Jan 26 2000

STATUS

approved

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Last modified November 18 10:18 EST 2019. Contains 329261 sequences. (Running on oeis4.)