A135109 Integers n such that 10^n+37 is a prime number.

1, 2, 4, 6, 8, 13, 15, 39, 169, 184, 228, 255, 279, 632, 2230, 2238, 2606, 3286, 4604, 4958, 4964, 6016, 8726, 9813, 16201, 16878, 26989, 55372, 72631

Offset: 1

Author

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

Keywords

• more
• nonn

Comments

Verified existing terms. The next term, if one exists, is >39456. - Robert Price, May 24 2010

See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10037".

Examples

			6 is a member because 10^6+37 = 1000000+37 = 1000037, which is prime.
		

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+37)]; // Vincenzo Librandi, Nov 02 2014

Mathematica

Select[Range[2000], PrimeQ[10^# + 37] &] (* Vincenzo Librandi, Nov 02 2014 *)

Extensions

Missing initial term 1 added by Vladimir Joseph Stephan Orlovsky, May 06 2008

16201, 16878 added by Robert Price, Mar 22 2010

Additional terms 2230, 2238, 2606, 3286, 4604, 4958, 4964, 6016, 8726, 9813, 26989 from Robert Price, May 24 2010

Edited by Ray Chandler, Dec 23 2010

a(28)=55372 from Robert Price, Jan 09 2011

a(29)=72631 from Robert Price, Jan 29 2011