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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 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.)