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A119644 a(n) = n-th prime from among those primes which are coprime to the n-th composite. 0

%I #7 Apr 09 2014 10:15:51

%S 3,7,7,11,17,19,23,29,29,37,41,43,47,53,53,61,61,71,79,73,83,89,97,

%T 101,103,107,109,127,127,131,137,139,139,151,157,163,167,173,179,181,

%U 191,197,197,199,199,223,229,229,233,241,241,251,257,263,269,277,277,277

%N a(n) = n-th prime from among those primes which are coprime to the n-th composite.

%e 8 is the 3rd composite. 3,5,7,11,... is the sequence of primes which are coprime to 8. 7 is the 3rd term of these primes, so a(3) = 7.

%o (PARI) {m=60;c=1;for(n=1,m,c++;while(isprime(c),c++);q=2;k=n;while(k>0,p=q;if(gcd(p,c)==1,k--);q=nextprime(p+1));print1(p,","))} - (Klaus Brockhaus, Aug 15 2006)

%K nonn

%O 1,1

%A _Leroy Quet_, Aug 04 2006

%E More terms from _Klaus Brockhaus_, Aug 15 2006

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Last modified April 19 10:38 EDT 2024. Contains 371791 sequences. (Running on oeis4.)