

A159352


Primes of the form "1 [0]_n 3"  with zeros between 1 and 3.


13



13, 103, 100003, 1000003, 100000000003, 100000000000000003, 1000000000000000003, 1000000000000000000000000000000000000003, 100000000000000000000000000000000000000000000000000000003
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

Table of n, a(n) for n=1..9.
Dario Alejandro Alpern, Factorization using the Elliptic Curve Method
Makoto Kamada, Prime numbers of the form 100...003.
Index entries for primes involving repunits.


EXAMPLE

1000000000000000000000000000000000000003 is a prime with 38 zeros between 1 and 3.


MAPLE

select(isprime, [seq(10^k+3, k=1..998)]); # Robert Israel, Dec 28 2015


PROG

(MAGMA) [p: n in [1..100]  IsPrime(p) where p is 10^n+3 ]; // Klaus Brockhaus, Apr 12 2009


CROSSREFS

Cf. A159031.
Cf. A049054 (numbers n such that 10^n + 3 is prime), A102006 (numbers n such that 10*10^n + 3 is prime), A011557 (powers of 10).
Sequence in context: A100277 A087398 A080440 * A289859 A129762 A283121
Adjacent sequences: A159349 A159350 A159351 * A159353 A159354 A159355


KEYWORD

base,nonn


AUTHOR

Parthasarathy Nambi, Apr 11 2009


STATUS

approved



