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A103545 Largest n-digit zeroless prime with nonprime digits. 2

%I #13 Aug 10 2022 07:40:46

%S 89,991,9949,99991,999961,9999991,99999989,999999491,9999999881,

%T 99999999689,999999999989,9999999999161,99999999999481,

%U 999999999999989,9999999999999641,99999999999999961,999999999999999989,9999999999999999961,99999999999999999989

%N Largest n-digit zeroless prime with nonprime digits.

%H Michael S. Branicky, <a href="/A103545/b103545.txt">Table of n, a(n) for n = 2..1000</a>

%t PrevPrim[n_] := Block[{k = n - 1}, While[ !PrimeQ[k], k-- ]; k]; f[n_] := Block[{pp = PrevPrim[ 10^n]}, While[ Union[ Join[{1, 4, 6, 8, 9}, IntegerDigits[pp]]] != {1, 4, 6, 8, 9}, pp = PrevPrim[pp]]; pp]; Table[ f[n], {n, 2, 18}] (* _Robert G. Wilson v_, Mar 26 2005 *)

%o (Python)

%o from sympy import isprime

%o from itertools import product

%o def a(n):

%o for p in product("98641", repeat=n):

%o t = int("".join(p))

%o if isprime(t): return t

%o print([a(n) for n in range(2, 22)]) # _Michael S. Branicky_, Aug 10 2022

%Y Cf. A103544.

%K base,nonn

%O 2,1

%A _Ray G. Opao_, Mar 22 2005

%E More terms from _Jonathan Vos Post_, Mar 23 2005

%E a(7) to a(12) from _Jonathan Vos Post_, Mar 23 2005

%E a(13) to a(18) from _Robert G. Wilson v_, Mar 26 2005

%E a(19) and beyond from _Michael S. Branicky_, Aug 10 2022

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)