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A052076 List of cubes p^3 of primes with property that next prime after p is a substring of p^3. 4
1331, 1030301, 11224377919, 40343019516073, 83964379378069, 153551511228149, 153548930496746303, 214889691497505989703913, 79943078473759892945966959, 16573430415736921632549592733, 22837138677705447754568672309, 940309072235302647342697969346063 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..15

MATHEMATICA

f[0]=8; f[n_]:=Module[{i=PrimePi[f[n-1]^(1/3)]+1},

While[StringPosition[ToString[Prime[i]^3], ToString[NextPrime[Prime[i]]]]=={}, i++]; Prime[i]^3]; f/@Range[7] (* Ivan N. Ianakiev, Nov 16 2016 *)

CROSSREFS

Cf. A052075, A052073, A052074, A274932.

Sequence in context: A076443 A278936 A263613 * A013795 A013860 A052072

Adjacent sequences:  A052073 A052074 A052075 * A052077 A052078 A052079

KEYWORD

nonn,base,nice

AUTHOR

Patrick De Geest, Jan 15 2000

EXTENSIONS

More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com), Sep 12 2006

Definition clarified by Charles R Greathouse IV, Dec 24 2014

a(12) from Giovanni Resta, Jul 02 2018

STATUS

approved

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Last modified August 14 01:55 EDT 2020. Contains 336476 sequences. (Running on oeis4.)