A186393 Numbers k such that there is 1 prime between 100*k and 100*k + 99.

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

Offset: 1

Author

Tim Johannes Ohrtmann, Feb 20 2011

Keywords

• nonn

Comments

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

Examples

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

Links

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

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), A361723 (18 primes).

Programs

Mathematica

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

PARI

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

Extensions

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