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).

5, 151, 11519, 2115193, 121151939, 21211519397, 4212115193971, 342121151939719, 43421211519397199, 2434212115193971993, 224342121151939719937, 122434212115193971993787, 51224342121151939719937871, 2512243421211519397199378719, 325122434212115193971993787197, 93251224342121151939719937871973

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..330

Maple

f:= proc(n) local m, d, d1, v, x, y, y0, z, found;
  m:= ilog10(n);
  v:= infinity;
  for d from 2 do
    for d1 from 1 to d-1 do
      found:= false;
      for x from 10^(d1-1) to 10^d1-1 while not found do
        if d-d1=1 then y0:= 1 else y0:= 10^(d-d1-1)+1 fi;
        for y from y0 to 10^(d-d1)-1 by 2 do
          z:= y+10^(d-d1)*n + 10^(d-d1+m+1)*x;
          if isprime(z) then v:= min(v, z); found:= true; break fi
      od od;
    od;
    if v < infinity then return v fi
  od
end proc:
A[1]:= 5:
for n from 2 to 20 do
  A[n]:= f(A[n-1])
od:
seq(A[n], n=1..20); # Robert Israel, Aug 28 2018

Crossrefs

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

Sequence in context: A082623 A332115 A262655 * A214691 A261822 A105230

Adjacent sequences: A075595 A075596 A075597 * A075599 A075600 A075601

Keyword

base,nonn

Author

Amarnath Murthy, Sep 28 2002

Extensions

More terms from Sascha Kurz, Jan 20 2003

Terms a(13) and beyond from Robert Israel, Aug 28 2018

Status

approved