A108312 Integers n such that 10^n + 27 is prime.

1, 2, 83, 167, 242, 14081, 65537

Offset

1,2

Comments

The next term, if one exists, is >100000. - Robert Price, May 24 2010

See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10027".

Links

Table of n, a(n) for n=1..7.

Makoto Kamada, List of near-repdigit-related prime numbers.

Index entries for primes involving repunits.

Example

For n=2 we have 10^2 + 27 = 100 + 27 = 127, which is prime.

Mathematica

Do[ If[ PrimeQ[10^n + 27], Print[n]], {n, 3000}] (* Robert G. Wilson v, Jul 01 2005 *)

Crossrefs

Cf. A049054, A088274, A088275, A095688, A107083, A108049, A108050, A108052, A108054.

Sequence in context: A090434 A062603 A007353 * A175449 A371475 A171399

Adjacent sequences: A108309 A108310 A108311 * A108313 A108314 A108315

Keyword

more,nonn

Author

Julien Peter Benney (jpbenney(AT)ftml.net), Jun 29 2005

Extensions

a(6)=14081 from Robert Price, Mar 22 2010

Edited by Ray Chandler, Dec 23 2010

a(7)=65537 from Robert Price, Jan 29 2011

Status

approved