A199342 Primes having only the (decimal) digits 2, 3 and 4.

2, 3, 23, 43, 223, 233, 433, 443, 2243, 2333, 2423, 3323, 3343, 3433, 4243, 4423, 22343, 22433, 23333, 24223, 24443, 32233, 32323, 32423, 32443, 33223, 33343, 42223, 42323, 42433, 42443, 43223, 222323, 223243, 223423, 224233, 224423, 224443, 232333, 232433, 233323, 233423, 234323, 234343, 242243, 243233, 243343, 243433, 244243, 244333

Offset

1,1

Comments

A020458 and A020461 are subsequences. - Vincenzo Librandi, Jul 28 2015

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

Select[Prime[Range[10^5]], Complement[IntegerDigits[#], {3, 4, 2}]=={}&] (* Vincenzo Librandi, Jul 28 2015 *)
Table[Select[FromDigits/@Tuples[{2, 3, 4}, n], PrimeQ], {n, 6}]//Flatten (* Harvey P. Dale, Nov 06 2019 *)

Prog

(PARI) a(n, list=0, L=[2, 3, 4], reqpal=0)={my(t); for(d=1, 1e9, u=vector(d, i, 10^(d-i))~; forvec(v=vector(d, i, [1+(i==1&!L[1]), #L]), isprime(t=vector(d, i, L[v[i]])*u)|next; reqpal & !isprime(A004086(t)) & next; list & print1(t", "); n--|return(t)))}
(Magma) [p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [3, 4, 2]]; // Vincenzo Librandi, Jul 28 2015

Crossrefs

Cf. A020449 - A020472, A199325 - A199329.

Cf. similar sequences listed in A199340.

Sequence in context: A309586 A090708 A359406 * A262838 A120366 A371310

Adjacent sequences: A199339 A199340 A199341 * A199343 A199344 A199345

Keyword

nonn,base,easy

Author

M. F. Hasler, Nov 05 2011

Status

approved