|
Search: id:A117272
|
|
|
| A117272 |
|
Prime numbers p for which none of its digits appear in the decimal expansion of p/pi(p). |
|
+0
1
|
|
| 3, 5, 11, 19, 47, 61, 71, 97, 157, 179, 229, 373, 409, 691, 1231, 1373, 1987, 2213, 2557, 3119, 3989, 8443, 9311, 17191, 20707, 26261, 38281, 41381, 48611, 54541, 66889, 74257, 255709
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
EXAMPLE
|
373 is in the sequence because 1) it is a prime number, 2) there are 74 prime numbers smaller than or equal to 373, 3) in the decimal expansion of 373/74=5.04(054)... there are no 3's and 7's.
|
|
MATHEMATICA
|
fQ[n_] := Block[{p = Prime@n}, Intersection[ Union@ Flatten@ RealDigits[p/n][[1]], IntegerDigits@ p] == {}]; Do[ If[fQ@n, Print@ Prime@n], {n, 200000}] (* Robert G. Wilson v *)
|
|
CROSSREFS
|
Cf. A000720: pi(n), the number of primes <= n.
Sequence in context: A131887 A045691 A045961 this_sequence A118744 A092672 A061068
Adjacent sequences: A117269 A117270 A117271 this_sequence A117273 A117274 A117275
|
|
KEYWORD
|
base,more,nonn
|
|
AUTHOR
|
Luc Stevens (lms022(AT)yahoo.com), Apr 23 2006
|
|
EXTENSIONS
|
Edited, corrected and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Apr 24 2006
|
|
|
Search completed in 0.002 seconds
|
