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 A061247 Prime numbers with every digit a perfect cube, i.e., consisting of only digits 0, 1 and 8. 11
 11, 101, 181, 811, 881, 1181, 1801, 1811, 8011, 8081, 8101, 8111, 10111, 10181, 11801, 18181, 80111, 81001, 81101, 81181, 88001, 88801, 88811, 100801, 100811, 101081, 101111, 108011, 108881, 110881, 118081, 118801, 180001, 180181, 180811 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The intersection with A007500 is listed in A199328. - M. F. Hasler, Nov 05 2011 LINKS Robert Israel, Table of n, a(n) for n = 1..17482 EXAMPLE a(6) = 1801, 1801 is a prime and consists of only 1, 8 and 0. MAPLE N:= 1000: # to get the first N entries count:= 0: allowed:= {0, 1, 8}: nallowed:= nops(allowed): subst:= seq(i=allowed[i+1], i=0..nallowed-1); for d from 1 while count < N do for x1 from 1 to nallowed-1 while count < N do for t from 0 to nallowed^d-1 while count < N do L:= subs(subst, convert(x1*nallowed^d+t, base, nallowed)); X:= add(L[i]*10^(i-1), i=1..d+1); if isprime(X) then count:= count+1; A[count]:= X; fi od od od: seq(A[n], n=1..N); # Robert Israel, Apr 20 2014 MATHEMATICA Select[Prime[Range[50000]], Length[Union[{0, 1, 8}, IntegerDigits[ # ]]] == 3&] (* Stefan Steinerberger, Jun 10 2007 *) Select[FromDigits/@Tuples[{0, 1, 8}, 6], PrimeQ] (* Harvey P. Dale, Jan 12 2016 *) PROG (PARI) a(n=50, L=[0, 1, 8], show=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]), ispseudoprime(t=vector(d, i, L[v[i]])*u) || next; show && print1(t", "); n-- || return(t)))} \\ M. F. Hasler, Nov 05 2011 (Magma) [NthPrime(n): n in [1..2*10^4] | forall{d: d in Intseq(NthPrime(n)) | d in [0, 1, 8]}]; // Vincenzo Librandi, May 15 2019 CROSSREFS Cf. A061246, A020449-A020472, A199325-A199329. Sequence in context: A084987 A083185 A007597 * A199328 A370447 A068188 Adjacent sequences: A061244 A061245 A061246 * A061248 A061249 A061250 KEYWORD nonn,base,less AUTHOR Amarnath Murthy, Apr 23 2001 EXTENSIONS Corrected and extended by Stefan Steinerberger, Jun 10 2007 STATUS approved

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Last modified August 5 04:15 EDT 2024. Contains 374935 sequences. (Running on oeis4.)