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A097457 If n is prime replace with the n-th nonprime otherwise replace with the n-th prime. 3

%I #13 Sep 11 2019 22:46:35

%S 2,4,6,7,9,13,12,19,23,29,18,37,21,43,47,53,26,61,28,71,73,79,34,89,

%T 97,101,103,107,42,113,45,131,137,139,149,151,52,163,167,173,57,181,

%U 60,193,197,199,65,223,227,229,233,239,74,251,257,263,269,271,81,281,84,293

%N If n is prime replace with the n-th nonprime otherwise replace with the n-th prime.

%e 4 is composite so replace it with prime(4) = 7, the 4th entry in the table.

%o (PARI) flipcomppr(n) = { for(x=1,n, if(isprime(x),y=composite(x),y=prime(x)); print1(y",") ) } /* the n-th composite */ composite(n) = { local(c,x); c=1; x=0; while(c <= n, x++; if(!isprime(x),c++); ); return(x) } /* Note: for more efficient code, see A018252 */

%o (PARI) A097457 = n->if(isprime(n),A018252(n),prime(n)) \\ _M. F. Hasler_, Jan 29 2014

%Y Cf. A026234.

%K nonn

%O 1,1

%A _Cino Hilliard_, Aug 23 2004

%E Definition and offset corrected by _M. F. Hasler_, Jan 29 2014

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Last modified August 29 13:55 EDT 2024. Contains 375517 sequences. (Running on oeis4.)