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A186394
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Numbers n such that there are 2 primes between 100*n and 100*n + 99.
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2
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3020, 3709, 4484, 4617, 4806, 4921, 5072, 5423, 5616, 6041, 6194, 6231, 6452, 6485, 6683, 6828, 7101, 7365, 7454, 7532, 7839, 8096, 8157, 8728, 8738, 9221, 9486, 9635, 9796, 10152, 10506, 10720, 10852, 11261, 11621, 11736, 11953, 11992
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OFFSET
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1,1
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COMMENTS
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There are 780 possible prime patterns for centuries having 2 primes. - Tim Johannes Ohrtmann, Aug 27 2015
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
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EXAMPLE
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3020 is in this sequence because there are 2 primes between 302000 and 302099 (302009 and 302053).
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PROG
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(Sage)
def is_A186394(n):
np0 = next_prime(next_prime(100*n))
np1 = next_prime(np0)
return np0 <= 100*n+99 and np1 > 100*n+99 # D. S. McNeil, Feb 21 2011
(PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==2, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011
(PARI) N=100; s=0; forprime(p=2, 4e9, if(p>N, if(s==2, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ Charles R Greathouse IV, Feb 21 2011
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CROSSREFS
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Cf. A038822 (number of primes between 100n and 100n + 99), A186311 (first occurrences).
Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A186509 (17 primes).
Sequence in context: A086746 A031816 A252381 * A236200 A252620 A104960
Adjacent sequences: A186391 A186392 A186393 * A186395 A186396 A186397
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KEYWORD
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nonn
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AUTHOR
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Tim Johannes Ohrtmann, Feb 20 2011
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STATUS
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approved
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