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A195993
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Numbers n such that 90n + 73 is prime.
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22
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0, 1, 4, 5, 6, 9, 11, 12, 15, 18, 19, 20, 22, 23, 27, 28, 29, 32, 36, 39, 40, 42, 43, 49, 51, 54, 55, 56, 61, 62, 63, 65, 70, 72, 74, 75, 85, 88, 91, 92, 93, 95, 96, 97, 98, 103, 104, 106, 109, 110, 113, 114, 116, 127, 128, 131
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history;
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internal format)
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OFFSET
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1,3
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COMMENTS
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This sequence results from the propagation (addition) of 12 Fibonacci-like sequences; this sequence contains (recovers) all digital root 1 and last digit 3 prime numbers.
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LINKS
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Table of n, a(n) for n=1..56.
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FORMULA
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a(n) = (A142326(n)-73)/90.
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MAPLE
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A142326 := proc(n)
option remember;
if n = 1 then
73 ;
else
a := nextprime(procname(n-1)) ;
while (a mod 45) <> 28 do
a := nextprime(a) ;
end do;
return a;
end if;
end proc:
A195993 := proc(n)
(A142326(n)-73)/90 ;
end proc:
seq(A195993(n), n=1..80) ; # R. J. Mathar, Oct 31 2011
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MATHEMATICA
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Select[Range[0, 200], PrimeQ[90#+73]&] (* Harvey P. Dale, May 05 2014 *)
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CROSSREFS
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Cf. A181732, A198382.
Sequence in context: A162016 A242040 A206822 * A010456 A072496 A047431
Adjacent sequences: A195990 A195991 A195992 * A195994 A195995 A195996
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KEYWORD
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nonn,easy
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AUTHOR
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J. W. Helkenberg, Oct 27 2011
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STATUS
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approved
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