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A033450 List of sets of four consecutive primes in arithmetic progression with common difference 18. 1
74453, 74471, 74489, 74507, 76543, 76561, 76579, 76597, 132893, 132911, 132929, 132947, 182243, 182261, 182279, 182297, 202823, 202841, 202859, 202877, 297403, 297421, 297439, 297457, 358793, 358811, 358829, 358847, 485923, 485941, 485959, 485977 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is a 4-column table read by rows.

LINKS

Table of n, a(n) for n=1..32.

Index entries for sequences related to primes in arithmetic progressions

MAPLE

a:=[];

for n from 1 to 50000 do

  p1:=ithprime(n);

  p2:=nextprime(p1);

if (p2-p1)=18 then

  p3:=nextprime(p2);

     if p3-p2=18 then

        p4:=nextprime(p3);

         if p4-p3 = 18 then a:=[op(a), p1, p2, p3, p4]; fi;

     fi;

fi;

od:

a; # N. J. A. Sloane, Nov 23 2017

MATHEMATICA

Select[Partition[Prime[Range[41000]], 4, 1], Union[Differences[#]]=={18}&]// Flatten (* Harvey P. Dale, Nov 24 2017 *)

CROSSREFS

For the initial primes from each set of four, see A033448.

Sequence in context: A239587 A122065 A079543 * A033448 A234725 A058415

Adjacent sequences:  A033447 A033448 A033449 * A033451 A033452 A033453

KEYWORD

nonn,tabf

AUTHOR

Jeff Burch

EXTENSIONS

Confirmed (and last set of four completed) by N. J. A. Sloane, Nov 23 2017

STATUS

approved

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Last modified February 18 03:40 EST 2020. Contains 332006 sequences. (Running on oeis4.)