

A201739


Numbers n such that 90*n + 29 is prime.


18



0, 4, 5, 6, 7, 9, 10, 11, 12, 14, 17, 23, 27, 28, 30, 31, 32, 33, 34, 37, 38, 39, 41, 44, 45, 47, 48, 53, 54, 61, 65, 70, 73, 74, 75, 76, 77, 80, 83, 84, 88, 89, 91, 96, 98, 100, 102, 105, 108, 109, 110, 114, 117, 119, 125, 126, 128, 132, 136, 139, 142, 143
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OFFSET

1,2


COMMENTS

This sequence was generated by adding 12 Fibonaccilike sequences. Looking at the format 90n+29 modulo 9 and modulo 10 we see that all entries of A142327 have digital root 2 and last digit 9. (Reverting the process is an application of the Chinese remainder theorem.)


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000


FORMULA

a(n) = (A142327(n)  29)/90.


MAPLE

for n from 0 to 240 do
p := 90*n+29 ;
if isprime(p) then
printf("%d, ", n) ;
end if;
end do: # R. J. Mathar, Dec 05 2011


MATHEMATICA

Select[Range[0, 400], PrimeQ[90 #+29]&] (* Vincenzo Librandi, Dec 11 2011 *)


PROG

(PARI) forstep(n=29, 1e4, 90, if(isprime(n), print1(n\90", "))) \\ Charles R Greathouse IV, Dec 05 2011
(MAGMA) [n: n in [0..200]  IsPrime(90*n+29)]; // Vincenzo Librandi, Dec 11 2011


CROSSREFS

Cf. A181732, A198382, A195993, A196000, A196007, A201734.
Sequence in context: A196697 A068318 A242337 * A329782 A218044 A066485
Adjacent sequences: A201736 A201737 A201738 * A201740 A201741 A201742


KEYWORD

nonn,easy


AUTHOR

J. W. Helkenberg, Dec 04 2011


STATUS

approved



