Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #25 Jul 29 2023 17:39:34
%S 1331,1030301,11224377919,40343019516073,83964379378069,
%T 153551511228149,153548930496746303,214889691497505989703913,
%U 79943078473759892945966959,16573430415736921632549592733,22837138677705447754568672309,940309072235302647342697969346063
%N List of cubes p^3 of primes with property that next prime after p is a substring of p^3.
%H Giovanni Resta, <a href="/A052076/b052076.txt">Table of n, a(n) for n = 1..15</a>
%t f[0]=8;f[n_]:=Module[{i=PrimePi[f[n-1]^(1/3)]+1},
%t While[StringPosition[ToString[Prime[i]^3],ToString[NextPrime[Prime[i]]]]=={}, i++];Prime[i]^3];f/@Range[7] (* _Ivan N. Ianakiev_, Nov 16 2016 *)
%t #^3&/@Select[Prime[Range[10^6]],SequenceCount[IntegerDigits[#^3],IntegerDigits[ NextPrime[ #]]]> 0&] (* _Harvey P. Dale_, Jul 29 2023 *)
%Y Cf. A052075, A052073, A052074, A274932.
%K nonn,base,nice
%O 1,1
%A _Patrick De Geest_, Jan 15 2000
%E More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Sep 12 2006
%E Definition clarified by _Charles R Greathouse IV_, Dec 24 2014
%E a(12) from _Giovanni Resta_, Jul 02 2018