A260899 Positive numbers k such that 1...123 = (10^(k+2) + 107) / 9 is prime.

2, 12, 14, 38, 158, 170, 548

Offset

1,1

Comments

From Robert Israel, Nov 30 2015: (Start)

All terms == 0 or 2 (mod 6), because otherwise (10^(n+2)+107)/9 is divisible by 3, 7, or 13.

a(8) > 42000 (if it exists). (End)

Links

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

Example

2 appears because 1123 is prime.
12 appears because 11111111111123 is prime.

Mathematica

Select[Select[Range[10^3], EvenQ], PrimeQ[(10^(# + 2) + 107)/9] &]
Select[Range[3, 560], PrimeQ[FromDigits[PadLeft[{2, 3}, #, 1]]]&]-2 (* Harvey P. Dale, May 16 2021 *)

Prog

(Magma) [n: n in [1..300] | IsPrime((10^(n+2)+107) div 9)]; // Vincenzo Librandi, Nov 18 2015
(PARI) is(n)=ispseudoprime((10^(n+2)+107)/9) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

See A260898 for the actual primes.

Sequence in context: A280942 A270119 A340016 * A108969 A269130 A265485

Adjacent sequences: A260896 A260897 A260898 * A260900 A260901 A260902

Keyword

nonn,base,hard,more

Author

Mikk Heidemaa, Nov 17 2015

Status

approved