A135563 First member of smallest n-digit prime quadruplet.

11, 101, 1481, 13001, 101111, 1002341, 10013951, 100005461, 1000025261, 10000057421, 100000007531, 1000000123691, 10000000056581, 100000000945721, 1000000000067441, 10000000001346491, 100000000000325231

Offset

2,1

Links

Table of n, a(n) for n=2..18.

Example

a(5) = 13001 because the smallest 5-digit prime quadruplet is {13001, 13003, 13007, 13009}

Mathematica

s={}; Do[m=10^(n-1)+1; While[!AllTrue[{m, m+2, m+6, m+8}, PrimeQ], m=m+10]; AppendTo[s, m], {n, 2, 18}]; s (* James C. McMahon, Apr 16 2025 *)

Crossrefs

Cf. A120120.

Sequence in context: A292688 A286519 A088292 * A233432 A052075 A070854

Adjacent sequences: A135560 A135561 A135562 * A135564 A135565 A135566

Keyword

base,nonn,more

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 23 2008

Extensions

a(9)-a(18) from Donovan Johnson, May 23 2010

Status

approved