A084354 Primes whose product of nonzero digits + 1 is prime.

2, 11, 23, 29, 41, 43, 47, 61, 67, 89, 101, 149, 163, 167, 211, 223, 227, 229, 233, 251, 257, 263, 269, 281, 349, 367, 383, 401, 409, 419, 431, 433, 439, 463, 491, 521, 523, 569, 587, 601, 607, 613, 617, 631, 643, 659, 661, 673, 761, 769, 809, 821, 827, 857

Offset: 1

Author

Jason Earls, Jun 22 2003

Keywords

• base
• easy
• nonn

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A066725.

Programs

Maple

filter:= proc(n) local p;
   if not isprime(n) then return false fi;
   p:= 1+ convert(subs(0=NULL, convert(n,base,10)),`*`);
   isprime(p)
end proc:
select(filter, [2,seq(i,i=3..1000,2)]); # Robert Israel, Mar 06 2018

Mathematica

okQ[n_]:=Module[{idn=IntegerDigits[n]},PrimeQ[1+Times@@Select[idn,#>0&]]]
Select[Prime[Range[150]],okQ]  (* Harvey P. Dale, Jan 20 2011 *)