%I #9 May 05 2024 20:00:17

%S 15919,15923,24113,24517,30509,34883,34897,36107,49201,52747,56249,

%T 64927,64937,66107,66109,66191,67247,67261,67271,67273,68147,70639,

%U 70657,70663,70667,70687,70709,70717,71549,75797,78317,78929,79979,81083,81101,83701,88301,94117,94603,94613,96497,97609

%N Primes such that the next 10 prime gaps are all distinct.

%H Robert Israel, <a href="/A372550/b372550.txt">Table of n, a(n) for n = 1..10000</a>

%e a(3) = 24113 is a term because it is prime, the next 10 primes are 24121, 24133, 24137, 24151, 24169, 24179, 24181, 24197, 24203, 24223, and the gaps between these 11 primes are 8, 12, 4, 14, 18, 10, 2, 16, 6, 20 which are all distinct.

%p P:= [seq(ithprime(i),i=1..11)]:

%p R:= NULL: count:= 0:

%p while count < 100 do

%p P:= [op(P[2..-1]),nextprime(P[-1])];

%p if nops(convert(P[2..-1]-P[1..-2],set))=10 then

%p count:= count+1; R:= R,P[1];

%p fi

%p od:

%p R;

%t s = {};

%t Do[If[10 == Length[Union[Differences[Prime[Range[k, k + 10]]]]], AppendTo[s,

%t Prime[k]]], {k,, 10000}]; s

%Y Cf. A079007.

%K nonn,new

%O 1,1

%A _Zak Seidov_ and _Robert Israel_, May 05 2024