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A075598 a(1) = 5 and then the smallest prime that is obtained by placing digits on both sides of the previous term. Or smallest prime that encompasses a(n-1). 8

%I #11 Aug 29 2018 02:50:01

%S 5,151,11519,2115193,121151939,21211519397,4212115193971,

%T 342121151939719,43421211519397199,2434212115193971993,

%U 224342121151939719937,122434212115193971993787,51224342121151939719937871,2512243421211519397199378719,325122434212115193971993787197,93251224342121151939719937871973

%N a(1) = 5 and then the smallest prime that is obtained by placing digits on both sides of the previous term. Or smallest prime that encompasses a(n-1).

%H Robert Israel, <a href="/A075598/b075598.txt">Table of n, a(n) for n = 1..330</a>

%p f:= proc(n) local m,d,d1,v,x,y,y0,z,found;

%p m:= ilog10(n);

%p v:= infinity;

%p for d from 2 do

%p for d1 from 1 to d-1 do

%p found:= false;

%p for x from 10^(d1-1) to 10^d1-1 while not found do

%p if d-d1=1 then y0:= 1 else y0:= 10^(d-d1-1)+1 fi;

%p for y from y0 to 10^(d-d1)-1 by 2 do

%p z:= y+10^(d-d1)*n + 10^(d-d1+m+1)*x;

%p if isprime(z) then v:= min(v,z); found:= true; break fi

%p od od;

%p od;

%p if v < infinity then return v fi

%p od

%p end proc:

%p A[1]:= 5:

%p for n from 2 to 20 do

%p A[n]:= f(A[n-1])

%p od:

%p seq(A[n],n=1..20); # _Robert Israel_, Aug 28 2018

%Y Cf. A075595, A075596, A075597, A075599, A075600, A075601, A075602.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Sep 28 2002

%E More terms from _Sascha Kurz_, Jan 20 2003

%E Terms a(13) and beyond from _Robert Israel_, Aug 28 2018

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)