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 A034302 Primes which remains prime if any digit is deleted (zeros not allowed). 15
 23, 37, 53, 73, 113, 131, 137, 173, 179, 197, 311, 317, 431, 617, 719, 1499, 1997, 2239, 2293, 3137, 4919, 6173, 7433, 9677, 19973, 23833, 26833, 47933, 73331, 74177, 91733, 93491, 94397, 111731, 166931, 333911, 355933, 477797, 477977 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..103 (first 79 from T. D. Noe) StackExchange, Deleting any digit yields a prime MATHEMATICA rpnzQ[n_]:=Module[{idn=IntegerDigits[n]}, Count[idn, 0]==0 && And@@ PrimeQ[FromDigits/@Subsets[IntegerDigits[n], {Length[idn]-1}]]]; Select[Prime[Range[40000]], rpnzQ]  (* Harvey P. Dale, Mar 24 2011 *) PROG (Haskell) import Data.List (inits, tails) a034302 n = a034302_list !! (n-1) a034302_list = filter f \$ drop 4 a038618_list where    f x = all (== 1) \$ map (a010051 . read) \$              zipWith (++) (inits \$ show x) (tail \$ tails \$ show x) -- Reinhard Zumkeller, Dec 17 2011 (PARI) is(n)=my(d=digits(n), t=2^#d-1); if(vecmin(d)==0, return(0)); for(i=0, #d-1, if(!isprime(fromdigits(vecextract(d, t-2^i))), return(0))); isprime(n) \\ Charles R Greathouse IV, Jun 23 2017 CROSSREFS Cf. A034303, A034304, A034305, A051362, A010051, A038618. Sequence in context: A057876 A244282 A051362 * A057878 A019549 A272157 Adjacent sequences:  A034299 A034300 A034301 * A034303 A034304 A034305 KEYWORD base,nonn,nice AUTHOR STATUS approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)