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Numbers of 2n-digit primes which are concatenations of n-digit primes (no leading zeros allowed).
0

%I #10 Apr 03 2023 10:36:09

%S 4,80,2753,112649,5536978,311350561,19222612234

%N Numbers of 2n-digit primes which are concatenations of n-digit primes (no leading zeros allowed).

%H C. K. Caldwell, <a href="https://t5k.org/curios/page.php?short=80">Prime Curios! 80</a>

%e n=1 gives these four primes: 23, 37, 53 and 73.

%o (PARI) for(n=1,5,pdn=vector(10^n-10^(n-1));i=1;for(k=10^(n-1)+1,10^n-3,if(isprime(k),pdn[i]=k;i++));s=0;for(l=1,i-1,for(m=1,i-1,if(isprime(pdn[l]*(10^n)+pdn[m]),s++)));print1(s",")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 30 2008

%Y Cf. A000040.

%K nonn,base,more

%O 1,1

%A _Patrick De Geest_, Sep 15 2000

%E a(5) from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 30 2008

%E a(6)-a(7) from _Donovan Johnson_, Dec 19 2010

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Last modified September 20 02:41 EDT 2024. Contains 376016 sequences. (Running on oeis4.)