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A192326 Remainders of primes divided by odd numbers. 1
0, 0, 0, 0, 2, 2, 4, 4, 6, 10, 10, 14, 16, 16, 18, 22, 26, 26, 30, 32, 32, 36, 38, 42, 48, 50, 50, 52, 52, 54, 5, 5, 7, 5, 11, 9, 11, 13, 13, 15, 17, 15, 21, 19, 19, 17, 25, 33, 33, 31, 31, 33, 31, 37, 39, 41, 43, 41, 43, 43, 41, 47, 57, 57, 55, 55, 65, 67, 73, 71, 71, 73, 77, 79, 81, 81, 83 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..77.

FORMULA

a(n) = prime(n) mod (2n-1).

EXAMPLE

a(1) = prime(1) mod odd(1) = 2 mod 1 = 0; a(5) = prime(5) mod odd(5) = 11 mod 9 = 2.

MAPLE

A192326 := proc(n) modp(ithprime(n), 2*n-1) ; end proc:

seq(A192326(n), n=1..80) ; # R. J. Mathar, Jul 13 2011

PROG

(Matlab) % n = number of computed terms of sequence

for i=1:n,

    a(n) = mod(prime(i), odd(i)) ;

end

(PARI) a(n)=prime(n)%(2*n-1) \\ Charles R Greathouse IV, Jun 29 2011

CROSSREFS

Cf. A131733.

Sequence in context: A029940 A045674 A143483 * A131733 A128745 A188524

Adjacent sequences:  A192323 A192324 A192325 * A192327 A192328 A192329

KEYWORD

nonn,easy,changed

AUTHOR

Pasi Airikka, Jun 28 2011

STATUS

approved

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Last modified May 23 17:52 EDT 2013. Contains 225611 sequences.