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A196007
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Numbers n such that 90n + 83 is prime.
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19
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0, 1, 2, 3, 4, 10, 12, 15, 16, 17, 21, 22, 23, 24, 25, 26, 29, 32, 36, 37, 39, 42, 45, 49, 50, 51, 54, 58, 59, 60, 61, 64, 67, 68, 71, 72, 73, 75, 77, 78, 79, 80, 84, 86, 89, 91, 92, 94, 101, 105, 106, 108, 112, 113, 114, 115, 117, 120
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OFFSET
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1,3
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LINKS
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Ivan Neretin, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n) = (A142332(n)-83)/90.
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MAPLE
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A142332 := proc(n)
option remember;
if n = 1 then
83 ;
else
a := nextprime(procname(n-1)) ;
while (a mod 45) <> 38 do
a := nextprime(a) ;
end do;
return a;
end if;
end proc:
A196007 := proc(n)
(A142332(n)-83)/90 ;
end proc:
seq(A196007(n), n=1..80) ; # R. J. Mathar, Oct 31 2011
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MATHEMATICA
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Select[Range[0, 120], PrimeQ[90 # + 83] &] (* Ivan Neretin, May 02 2017 *)
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PROG
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(PARI) is(n)=isprime(90*n+83) \\ Charles R Greathouse IV, Jul 12 2016
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CROSSREFS
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Cf. A196000, A198382, A181732, A195993. These are digital root and last digit preserving sequences.
Sequence in context: A250051 A076079 A229593 * A134170 A276560 A339577
Adjacent sequences: A196004 A196005 A196006 * A196008 A196009 A196010
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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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