

A103965


Numbers n such that the string n10n is the decimal expansion of a prime number.


0



9, 27, 41, 81, 111, 113, 117, 183, 191, 219, 231, 261, 279, 281, 309, 321, 339, 363, 377, 399, 401, 411, 429, 449, 461, 467, 477, 479, 497, 503, 513, 539, 549, 567, 603, 633, 653, 659, 689, 693, 707, 723, 731, 737, 747, 773, 843, 849, 887, 891, 911, 917
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..52.


EXAMPLE

n=9 is in the sequence because n10n = 9109 is prime.
n=113 is in the sequence because n10n = 11310113 is prime.
n=219 is in the sequence because n10n = 21910219 is prime.


MATHEMATICA

n10pQ[n_]:=Module[{idn=IntegerDigits[n]}, PrimeQ[FromDigits[Join[idn, {1, 0}, idn]]]]
Select[Range[1000], n10pQ] (* Harvey P. Dale, Feb 22 2011 *)


PROG

(MAGMA) [ n: n in [0..1000]  IsPrime(Seqint(Intseq(n) cat [0, 1] cat Intseq(n))) ]; // Klaus Brockhaus, Feb 03 2011


CROSSREFS

Sequence in context: A116455 A103753 A238333 * A069069 A031088 A020156
Adjacent sequences: A103962 A103963 A103964 * A103966 A103967 A103968


KEYWORD

base,nonn


AUTHOR

Parthasarathy Nambi, Mar 30 2005


STATUS

approved



