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A186393 Numbers n such that there is 1 prime between 100*n and 100*n+99. 22
1559, 2683, 4133, 10048, 11400, 12727, 12800, 13572, 14223, 14443, 14514, 14680, 14913, 15536, 15619, 16538, 16557, 17334, 19043, 20452, 20465, 20522, 21162, 21663, 22440, 22832, 23055, 23144, 23214, 23460, 24833, 25139, 25278, 25980, 26207, 26257, 26702, 26747, 27536, 27878, 28448, 28671, 29180, 29873, 30212, 30232 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are 40 possible prime patterns for centuries having 1 prime. - Tim Johannes Ohrtmann, Aug 27 2015

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

EXAMPLE

1559 is in this sequence because there is 1 prime between 155900 and 155999 (155921).

MATHEMATICA

Select[Range[31000], PrimePi[100 #+99]-PrimePi[100 #]==1&] (* Harvey P. Dale, Dec 16 2011 *)

PROG

(PARI) isA186393(n)=my(k=nextprime(100*n)); n=100*(n+1); k<n&nextprime(k+1)>n \\ Charles R Greathouse IV, Feb 21 2011

CROSSREFS

Cf. A038822 (number of primes between 100n and 100n + 99), A186311 (first occurrences).

Cf. A181098 (no primes), A186394-A186408 (2 to 16 primes), A186509 (17 primes).

Sequence in context: A252313 A252321 A252314 * A025026 A343867 A302057

Adjacent sequences:  A186390 A186391 A186392 * A186394 A186395 A186396

KEYWORD

nonn

AUTHOR

Tim Johannes Ohrtmann, Feb 20 2011

EXTENSIONS

a(4)-a(46) from Charles R Greathouse IV, Feb 21 2011

STATUS

approved

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Last modified September 25 05:08 EDT 2022. Contains 356958 sequences. (Running on oeis4.)