A135115 Integers k such that 10^k + 63 is a prime number.

1, 2, 3, 11, 12, 37, 42, 64, 101, 131, 170, 366, 404, 771, 1454, 1696, 4415, 5208, 9027, 10978, 11264, 11651, 14432, 20655, 28220, 34623, 62523, 63986

Offset: 1

Author

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

Keywords

• nonn
• more

Comments

If another term exists it 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 "10063".

Examples

			3 is a term because 10^3 + 63 = 1000 + 63 = 1063, 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

Mathematica

Select[Range[2000],PrimeQ[10^#+63]&] (* Harvey P. Dale, Jul 24 2009 *)

Extensions

Two additional terms from Harvey P. Dale, Jul 24 2009

One more term from Robert Price, Mar 22 2010

Eight more terms from Robert Price, Aug 14 2010

Edited by Ray Chandler, Dec 23 2010

a(27)=62523, a(28)=63986 from Robert Price, Jan 29 2011