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A219999 Decades whose prime pattern is the same as prime pattern in the previous decade. 2
38, 79, 114, 125, 134, 135, 140, 155, 168, 181, 219, 235, 249, 277, 289, 292, 311, 315, 324, 332, 348, 375, 419, 431, 437, 445, 477, 485, 500, 513, 525, 533, 537, 546, 559, 561, 576, 597, 610, 617, 625, 641, 649, 651, 675, 693, 697, 707, 709, 714, 718, 727 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

V. Raman, Table of n, a(n) for n = 1..10000

FORMULA

a(n) >> n log^2 n.

a(n) = A216287(n) + 1.

EXAMPLE

The primes between 380 and 390 are 383 and 389. The primes in the previous decade are 373 and 379. Therefore 38 is in the sequence.

MATHEMATICA

Select[Range[2, 100], Mod[Prime[Range[PrimePi[NextPrime[10#]], PrimePi[10# + 10]]], 10] == Mod[Prime[Range[PrimePi[NextPrime[10# - 10]], PrimePi[10#]]], 10] (* Alonso del Arte, Dec 07 2012 *)

PROG

(PARI) for(i=2, 1000, if(isprime(10*i-9)==isprime(10*i+1)&&isprime(10*i-7)==isprime(10*i+3)&&isprime(10*i-3)==isprime(10*i+7)&&isprime(10*i-1)==isprime(10*i+9), print1(i", ")))

CROSSREFS

Cf. A190639.

Cf. A216287 (lower decade).

Sequence in context: A044104 A044485 A160846 * A219997 A039421 A043244

Adjacent sequences: A219996 A219997 A219998 * A220000 A220001 A220002

KEYWORD

nonn,base

AUTHOR

V. Raman, Dec 07 2012

STATUS

approved

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Last modified December 9 14:35 EST 2022. Contains 358700 sequences. (Running on oeis4.)