The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A038614 Primes not containing the digit '6'. 12
 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 271, 277, 281, 283, 293, 307, 311 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Subsequence of primes of A052414. - Michel Marcus, Feb 22 2015 Maynard proves that this sequence is infinite and in particular contains the expected number of elements up to x, on the order of x^(log 9/log 10)/log x. - Charles R Greathouse IV, Apr 08 2016 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 M. F. Hasler, Numbers avoiding certain digits OEIS wiki, Jan 12 2020. James Maynard, Primes with restricted digits, arXiv:1604.01041 [math.NT], 2016. James Maynard and Brady Haran, Primes without a 7, Numberphile video (2019). FORMULA Intersection of A000040 and A052414. - M. F. Hasler, Jan 12 2020 MAPLE no6:= proc(n) option remember;   n mod 10 <> 6 and procname(floor(n/10)) end proc: no6(0):= true: select(no6 and isprime, [2, seq(i, i=3..1000, 2)]); # Robert Israel, Mar 16 2017 MATHEMATICA Select[Prime[Range[70]], DigitCount[#, 10, 6] == 0 &] (* Vincenzo Librandi, Aug 08 2011 *) PROG (MAGMA) [ p: p in PrimesUpTo(400) | not 6 in Intseq(p) ]; // Bruno Berselli, Aug 08 2011 (PARI) lista(nn)=forprime(p=2, nn, if (!vecsearch(vecsort(digits(p), , 8), 6), print1(p, ", ")); ); \\ Michel Marcus, Feb 22 2015 (PARI) select( {is_A038614(n)=is_A052414(n)&&isprime(n)}, [1..350]) \\ see A052414 (A038614_upto(n)=select( is_A038614, primes([1, n])))(350) \\ needs the above next_A038614(n)={until(isprime(n), n=next_A052414(nextprime(n+1)-1)); n} (A038614_vec(n)=vector(n, i, n=next_A038614(if(i>1, n))))(66) \\ M. F. Hasler, Jan 12 2020 CROSSREFS Intersection of A000040 (primes) and A052414 (numbers with no digit 6). Primes having no digit d = 0..9 are A038618, A038603, A038604, A038611, A038612, A038613, this sequence, A038615, A038616, and A038617, respectively. Sequence in context: A322443 A219697 A078668 * A171047 A050246 A229106 Adjacent sequences:  A038611 A038612 A038613 * A038615 A038616 A038617 KEYWORD nonn,easy,base AUTHOR Vasiliy Danilov (danilovv(AT)usa.net), Jul 15 1998 EXTENSIONS Offset corrected by Arkadiusz Wesolowski, Aug 07 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 21 10:09 EDT 2021. Contains 345360 sequences. (Running on oeis4.)