

A092767


Numbers n such that 10^n11 is prime.


11



2, 5, 8, 12, 15, 18, 20, 30, 80, 143, 152, 164, 176, 239, 291, 324, 504, 594, 983, 2894, 22226, 35371, 58437, 67863, 180979
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OFFSET

1,1


COMMENTS

Some of the larger entries may only correspond to probable primes.
324, 504, 594 & 983 are certified prime by Primo.  Robert G. Wilson v, Jul 01 2005
a(26) > 2.5*10^5.  Robert Price, Apr 12 2015


LINKS

Table of n, a(n) for n=1..25.
Makoto Kamada, Nearrepdigit numbers of the form AA...AABA.
Makoto Kamada, Prime numbers of the form 99...9989.
Index entries for primes involving repunits.


EXAMPLE

n = 5 is a member because 10^511 = 10000011 = 99989, which is prime.


MATHEMATICA

Do[ If[ PrimeQ[10^n  11], Print[n]], {n, 3000}] (* Robert G. Wilson v, Jul 01 2005 *)


PROG

(PARI) for(n=0, 5000, if(isprime(10^n11), print1(n, ", "))) \\ Ryan Propper, Jun 15 2005


CROSSREFS

Cf. A089675, A086865, A004023, A095714.
Sequence in context: A209295 A184813 A108311 * A190000 A080753 A248184
Adjacent sequences: A092764 A092765 A092766 * A092768 A092769 A092770


KEYWORD

more,nonn


AUTHOR

Carl R. White, Apr 23 2004


EXTENSIONS

4 more terms from Ryan Propper, Jun 15 2005
Edited by N. J. A. Sloane, May 04 2007
a(21)a(22) from Robert Price, Dec 12 2010
Edited by Ray Chandler, Dec 23 2010
a(23)=58437 and a(24)=67863 from Robert Price, May 29 2011
a(25) from Kamada data by Robert Price, Apr 12 2015


STATUS

approved



