|
|
A038615
|
|
Primes not containing the digit '7'.
|
|
23
|
|
|
2, 3, 5, 11, 13, 19, 23, 29, 31, 41, 43, 53, 59, 61, 83, 89, 101, 103, 109, 113, 131, 139, 149, 151, 163, 181, 191, 193, 199, 211, 223, 229, 233, 239, 241, 251, 263, 269, 281, 283, 293, 311, 313, 331, 349, 353, 359, 383, 389, 401, 409, 419, 421, 431, 433, 439
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
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
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Select[Prime[Range[70]], DigitCount[#, 10, 7] == 0 &] (* Vincenzo Librandi, Aug 08 2011 *)
|
|
PROG
|
(Magma) [ p: p in PrimesUpTo(500) | not 7 in Intseq(p) ]; // Bruno Berselli, Aug 08 2011
(PARI) lista(nn)=forprime(p=2, nn, if (!vecsearch(vecsort(digits(p), , 8), 7), print1(p, ", ")); ); \\ Michel Marcus, Feb 22 2015
|
|
CROSSREFS
|
Primes having no digit d = 0..9 are A038618, A038603, A038604, A038611, A038612, A038613, A038614, this sequence, A038616, and A038617, respectively.
|
|
KEYWORD
|
nonn,easy,base
|
|
AUTHOR
|
Vasiliy Danilov (danilovv(AT)usa.net), Jul 15 1998
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|