A216287 - OEIS

A216287

Decades whose prime pattern repeat in the next decade.

37, 78, 113, 124, 133, 134, 139, 154, 167, 180, 218, 234, 248, 276, 288, 291, 310, 314, 323, 331, 347, 374, 418, 430, 436, 444, 476, 484, 499, 512, 524, 532, 536, 545, 558, 560, 575, 596, 609, 616, 624, 640, 648, 650, 674, 692, 696, 706, 708, 713, 717, 726

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OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000

FORMULA

a(n) >> n log^2 n. - Charles R Greathouse IV, Sep 07 2012

a(n) = A219999(n) - 1. - V. Raman, Dec 08 2012

MATHEMATICA

ps0 = {2, 3, 5, 7}; t = {}; Do[ps1 = Select[Range[10 n, 10 n + 9], PrimeQ]; If[Length[ps0] == Length[ps1] && ps0 + 10 == ps1, AppendTo[t, n - 1]]; ps0 = ps1, {n, 2, 1000}]; t (* T. D. Noe, Sep 03 2012 *)

PROG

(PARI) isok(i)=isprime(10*i+1)==isprime(10*i+11) && isprime(10*i+3)==isprime(10*i+13) && isprime(10*i+7)==isprime(10*i+17) && isprime(10*i+9)==isprime(10*i+19) \\ V. Raman, Dec 08 2012

CROSSREFS

Cf. A190639.

Cf. A219999 (upper decade).

Sequence in context: A085959 A145936 A071884 * A216329 A298324 A346559

Adjacent sequences: A216284 A216285 A216286 * A216288 A216289 A216290

KEYWORD

nonn,base

AUTHOR

V. Raman, Sep 03 2012

STATUS

approved