

A108364


Integers n such that 10^n  33 is prime.


0



2, 3, 4, 10, 18, 46, 48, 121, 154, 158, 170, 196, 211, 250, 294, 316, 320, 663, 975, 1165, 1351, 4126, 4270, 5724, 7156, 15025, 19132, 25035, 36174, 77418
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OFFSET

1,1


COMMENTS

See Kamada link  primecount.txt for terms, primesize.txt for discovery details including probable or proved primes  search on "99967".
The next term, if one exists, is >100000. [From Robert Price, Apr 25 2011]


LINKS

Table of n, a(n) for n=1..30.
Makoto Kamada, List of nearrepdigitrelated prime numbers.
Index entries for primes involving repunits.


EXAMPLE

If n=2 then 10^n  33 = 67 (prime).
If n=48 then 10^n  33 = 999999999999999999999999999999999999999999999967 (prime).


MATHEMATICA

For[n = 1, n < 1000, n++, If[PrimeQ[10^n  33], Print[n]]] (Steinerberger)


CROSSREFS

Cf. A108330, A108328.
Sequence in context: A007661 A049891 A135432 * A145028 A229545 A085932
Adjacent sequences: A108361 A108362 A108363 * A108365 A108366 A108367


KEYWORD

more,nonn


AUTHOR

Parthasarathy Nambi, Jul 01 2005


EXTENSIONS

a(8)a(21) from Stefan Steinerberger, Jan 28 2006
a(22)a(29) extracted from Makoto Kamada website by Robert Price, Dec 06 2010
Edited by Ray Chandler, Dec 23 2010
a(30)=77418 from Robert Price, Apr 25 2011


STATUS

approved



