A135112 Integers n such that 10^n+93 is a prime number.

1, 2, 3, 4, 9, 61, 78, 116, 632, 1184, 2034, 3870, 3914, 6456, 12464, 58250

Offset: 1

Author

Julien Peter Benney (jpbenney(AT)gmail.com), Feb 12 2008

Keywords

• more
• nonn

Comments

The next term, if one exists, is >100000. - Robert Price, Apr 25 2011

See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10093".

Examples

			4 is a member: 10^4+93 = 10000+93 = 10093, which is a prime number.
		

Links

• Makoto Kamada, List of near-repdigit-related prime numbers.
• Index entries for primes involving repunits.

Crossrefs

Cf. A095688, A108052, A108050, A108312, A107083, A108049, A108054.

Programs

Magma

[n: n in [1..500]| IsPrime(10^n+93)]; // Vincenzo Librandi, Nov 02 2014

Mathematica

Select[Range[2000], PrimeQ[10^# + 93] &] (* Vincenzo Librandi, Nov 02 2014 *)

Extensions

a(1)=1 added by Vladimir Joseph Stephan Orlovsky, May 02 2008

a(4) corrected by Vladimir Joseph Stephan Orlovsky, May 02 2008

a(10)-a(15) by Robert Price, Dec 12 2010

Edited by Ray Chandler, Dec 23 2010

a(16)=58250 from Robert Price, Jan 29 2011