|
Search: id:A147573
|
|
|
| A147573 |
|
Numbers with exactly 6 distinct prime divisors {2,3,5,7,11,13} |
|
+0
5
|
|
| 30030, 60060, 90090, 120120, 150150, 180180, 210210, 240240, 270270, 300300, 330330, 360360, 390390, 420420, 450450, 480480, 540540, 600600, 630630, 660660, 720720, 750750, 780780, 810810, 840840, 900900, 960960, 990990
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Successive numbers k such that EulerPhi[x]/x = m
( Family of sequences for successive n primes )
m=1/2 numbers with exactly 1 distinct prime divisor {2} see A000079
m=1/3 numbers with exactly 2 distinct prime divisors {2,3} see A033845
m=4/15 numbers with exactly 3 distinct prime divisors {2,3,5} see A143207
m=8/35 numbers with exactly 4 distinct prime divisors {2,3,5,7} see A147571
m=16/77 numbers with exactly 5 distinct prime divisors {2,3,5,7,11} see A147572
m=192/1001 numbers with exactly 6 distinct prime divisors {2,3,5,7,11,13} see A147573
m=3072/17017 numbers with exactly 7 distinct prime divisors {2,3,5,7,11,13,17} see A147574
m=55296/323323 numbers with exactly 8 distinct prime divisors {2,3,5,7,11,13,17,19} see A147575
|
|
MATHEMATICA
|
a = {}; Do[If[EulerPhi[x]/x == 192/1001, AppendTo[a, x]], {x, 1, 100000}]; a (*Artur Jasinski*)
|
|
CROSSREFS
|
A060735, A143207, A147571-A147575, A147576-A147580
Sequence in context: A066765 A067885 A072940 this_sequence A046324 A138206 A031853
Adjacent sequences: A147570 A147571 A147572 this_sequence A147574 A147575 A147576
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Artur Jasinski (grafix(AT)csl.pl), Nov 07 2008
|
|
|
Search completed in 0.002 seconds
|
