

A102737


Numbers n such that 3*10^n  11 is prime.


0



1, 4, 7, 11, 14, 16, 22, 29, 36, 40, 65, 139, 149, 204, 842, 1031, 1331, 1345, 1505, 1894, 3386, 3526, 11092, 23836, 37836, 138811, 182614
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

Some of the larger entries may only correspond to probable primes.
Numbers corresponding to terms <= 842 are certified primes.  Klaus Brockhaus, Feb 16 2005
Next term > 12500.  Ryan Propper, Jul 21 2006
For k > 1, numbers such that the digit 2 followed by k2 occurrences of the digit 9 followed by the digits 89 is prime.  Robert Price, Nov 25 2017
a(28) > 2*10^5.  Robert Price, Jul 04 2018


LINKS

Table of n, a(n) for n=1..27.
Makoto Kamada, Factorization of nearrepdigitrelated numbers.
Makoto Kamada, Search for 29w89


MATHEMATICA

Select[Range[1, 500], PrimeQ[3*10^#  11]&] (* Julien Kluge, Sep 19 2016 *)


PROG

(PARI) is(n)=ispseudoprime(3*10^n  11) \\ Charles R Greathouse IV, Jun 13 2017


CROSSREFS

Sequence in context: A092403 A219051 A310723 * A310724 A212447 A172513
Adjacent sequences: A102734 A102735 A102736 * A102738 A102739 A102740


KEYWORD

more,nonn


AUTHOR

Tom Mueller (muel4503(AT)unitrier.de), Feb 08 2005


EXTENSIONS

a(15)a(19) from Klaus Brockhaus, Feb 16 2005
a(20)a(23) from Ryan Propper, Jul 21 2006
a(24)a(25) from Robert Price, Nov 25 2017
a(26) from Robert Price, Jul 04 2018
a(27) from Robert Price, Jul 25 2018


STATUS

approved



