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A109370 Numbers n such that the string 22n is the decimal expansion of a prime number. 1
3, 7, 9, 13, 21, 37, 39, 43, 51, 67, 69, 73, 81, 87, 93, 97, 109, 111, 123, 129, 133, 147, 153, 157, 159, 171, 189, 193, 229, 247, 259, 271, 273, 277, 279, 283, 291, 303, 307, 343, 349, 367, 369, 381, 391, 397, 409, 433, 441, 447, 453, 469, 481, 483, 501, 511 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
3 is in the sequence because 223 is prime.
67 is in the sequence because 2267 is prime.
111 is in the sequence because 22111 is prime.
MAPLE
a:= proc(n) local k; for k from 1 +`if`(n=1, 0, a(n-1))
while not isprime(parse(""||22||k)) do od; a(n):=k
end:
seq(a(n), n=1..100); # Alois P. Heinz, Jul 30 2014
MATHEMATICA
Select[Range[700], PrimeQ[22 10^IntegerLength[#] + #] &] (* Vincenzo Librandi, Jul 30 2014 *)
PROG
(Magma) [ n: n in [1..600] | IsPrime(Seqint(Intseq(n) cat [2, 2])) ]; // Klaus Brockhaus, Feb 03 2011
CROSSREFS
Sequence in context: A118643 A043772 A176553 * A018663 A110575 A325556
KEYWORD
nonn,base
AUTHOR
Parthasarathy Nambi, Aug 24 2005
STATUS
approved

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Last modified July 25 04:49 EDT 2024. Contains 374586 sequences. (Running on oeis4.)