A123083 Prime quartets of form k, k+6, k+12, k+18.

5, 11, 17, 23, 11, 17, 23, 29, 41, 47, 53, 59, 61, 67, 73, 79, 251, 257, 263, 269, 601, 607, 613, 619, 641, 647, 653, 659, 1091, 1097, 1103, 1109, 1481, 1487, 1493, 1499, 1601, 1607, 1613, 1619, 1741, 1747, 1753, 1759, 1861, 1867, 1873, 1879, 2371, 2377, 2383

Offset: 1

Author

Miklos Kristof, Sep 27 2006

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001097.

Programs

Maple

i:=1:for k from 1 to 5000 do if isprime(k) and isprime(k+6)and isprime(k+12)and isprime(k+18) then a[i]:=k:a[i+1]:=k+6:a[i+2]:=k+12:a[i+3]:=k+18:i:=i+4 fi od: seq(a[n],n=1..i-1);

Mathematica

Select[Table[p+{0,6,12,18},{p,Prime[Range[400]]}],AllTrue[#,PrimeQ]&]//Flatten (* Harvey P. Dale, Sep 17 2023 *)