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A097453 Primes p of the form p = prime(k) - composite(k) for some k. 0

%I

%S 2,3,5,5,13,13,17,23,41,41,61,67,67,89,109,131,131,157,163,167,167,

%T 181,191,191,199,199,227,263,269,281,367,409,433,433,457,467,503,503,

%U 569,593,617,641,709,761,811,839,859,859,883,887,1019,1033,1033,1117,1193

%N Primes p of the form p = prime(k) - composite(k) for some k.

%e The 10th prime is 29, the 10th composite is 16. 29-16=13 the 5th entry in the table.

%o (PARI) primepcomp(n) = { for(x=5,n, y=prime(x)- composite(x); if(isprime(y),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) }

%K nonn

%O 1,1

%A _Cino Hilliard_, Aug 23 2004

%E Example corrected by _Harvey P. Dale_, Aug 21 2019

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Last modified September 27 20:56 EDT 2021. Contains 347694 sequences. (Running on oeis4.)