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A058323 Initial prime in set of 4 consecutive primes with common gap 42. 12
23921257, 32611897, 33215597, 35650007, 44201617, 49945837, 51616717, 70350487, 70687937, 74816107, 78789707, 86066047, 99641917, 101568287, 129031187, 146922077, 149568217, 151779517, 153921017, 156793337, 162881627 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All a(n) == 7 mod 10. - Robert Israel, May 13 2015

LINKS

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

Index entries for sequences related to primes in arithmetic progressions

MATHEMATICA

d[x_] := Prime[x+1]-Prime[x] {k1=42, k2=42, k3=42} k=0 Do[If[Equal[d[n], k1]&&Equal[d[n+1], k2]&& Equal[d[n+2], k3], k=k+1; Print[{k, n, Prime[n], Prime[n+1], Prime[n+2], Prime[n+3]}]], {n, 1, 10000000}]

Transpose[Select[Partition[Prime[Range[9000000]], 4, 1], Union[Differences[#]]=={42}&]][[1]] (* Vincenzo Librandi, Jun 21 2015 *)

CROSSREFS

Analogous sequences (with differences in square brackets): A033451 [6], A033447 [12], A033448 [18], A052242 [24], A052243 [30], A058252 [36].

Sequence in context: A132906 A234342 A104922 * A251248 A135954 A203260

Adjacent sequences:  A058320 A058321 A058322 * A058324 A058325 A058326

KEYWORD

nonn

AUTHOR

Harvey P. Dale, Dec 12 2000

EXTENSIONS

More terms from Labos Elemer, Jan 11 2002

Definition corrected by Robert Israel, May 13 2015

Definition edited by Zak Seidov, Jun 21 2015

Offset changed 0 -> 1 by Zak Seidov, Jun 21 2015

STATUS

approved

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Last modified August 20 05:25 EDT 2019. Contains 326139 sequences. (Running on oeis4.)