

A104138


Smallest prime followed by n or more composites.


3



2, 3, 7, 7, 23, 23, 89, 89, 113, 113, 113, 113, 113, 113, 523, 523, 523, 523, 887, 887, 1129, 1129, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 9551, 9551, 15683, 15683, 15683, 15683, 15683, 15683, 15683, 15683, 19609
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OFFSET

0,1


COMMENTS

Except for a(1), records occur at even values of n, and each term appears an even number of times consecutively. (Proof. A maximal run of composites must begin and end at even numbers.)  Jonathan Sondow, May 31 2014


LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 0..1000


FORMULA

Record prime A002386(n+1) appears A053695(n1) times, for n>1.
a(n) = A030296(n)  1, for n > 0.  Jonathan Sondow, May 31 2014


EXAMPLE

a(10)=113 because it is the first prime occurring before primes 199,211,293,317,467,509,... all followed by at least ten successive composites.


CROSSREFS

Cf. A002386, A005250, A030296, A053695.
Sequence in context: A085420 A027672 A322138 * A281909 A083809 A092967
Adjacent sequences: A104135 A104136 A104137 * A104139 A104140 A104141


KEYWORD

nonn


AUTHOR

Lekraj Beedassy, Mar 07 2005


EXTENSIONS

a(34) corrected by Charles R Greathouse IV, Aug 09 2011


STATUS

approved



