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A103443 Largest left-truncatable prime in base n (decimal expansion). 8

%I #59 Sep 23 2023 17:20:17

%S 23,4091,7817,4836525320399,817337,14005650767869,1676456897,

%T 357686312646216567629137,2276005673,

%U 13092430647736190817303130065827539,812751503,615419590422100474355767356763

%N Largest left-truncatable prime in base n (decimal expansion).

%H Martin Fuller, <a href="/A103443/b103443.txt">Table of n, a(n) for n = 3..29</a>

%H I. O. Angell, and H. J. Godwin, <a href="http://dx.doi.org/10.1090/S0025-5718-1977-0427213-2">On Truncatable Primes</a> Math. Comput. 31, 265-267, 1977. (See also Sloane link below)

%H James Grime and Brady Haran, <a href="https://www.youtube.com/watch?v=azL5ehbw_24">357686312646216567629137</a>, Numberphile video (2018).

%H Martin Renner, <a href="/A103443/a103443.txt">Table of n, a(n) for n = 3..53 (with some question marks)</a>. Corrected and expanded by Hans Havermann, Jan 25 2014.

%H N. J. A. Sloane, <a href="/A023107/a023107.txt">The Angell-Godwin table of initial terms of A023107 and A103443</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TruncatablePrime.html">Truncatable Prime</a>.

%H <a href="/index/Tri#tprime">Index entries for sequences related to truncatable primes</a>

%o (PARI) a(n)=my(v=primes(primepi(n-1)),u,t,b=1,best); while(#v, best=vecmax(v); b*=n; u=List(); for(i=1,#v,for(k=1,n-1,if(isprime(t=v[i]+k*b), listput(u,t)))); v=Vec(u)); best \\ _Charles R Greathouse IV_, Feb 05 2013

%Y Cf. A076623, A023107, A103463, A254755.

%K nonn,base

%O 3,1

%A _Martin Renner_, Mar 21 2005, Sep 24 2007, Apr 20 2008

%E Base-14 entry corrected by _Hans Havermann_, May 30 2011

%E Corresponding entry in a-file corrected by _N. J. A. Sloane_, Jun 02 2011

%E a-file corrected and expanded by _Hans Havermann_, Jan 25 2014

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Last modified April 24 15:57 EDT 2024. Contains 371961 sequences. (Running on oeis4.)