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Template:Sequence of the Day for January 23

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Intended for: January 23, 2013

Timetable

  • First draft entered by Alonso del Arte on April 5, 2012
  • Draft reviewed by Charles R Greathouse IV on April 5, 2012
  • Draft approved by Daniel Forgues on December 16, 2012
Yesterday's SOTD * Tomorrow's SOTD

The line below marks the end of the <noinclude> ... </noinclude> section.



A020806: Decimal expansion of
1
 7 
.
0.14285714285714...
7 is a “full reptend prime” (“long period prime” or “maximal period prime”) in base 10 since
1
 7 
has period length 6. Since
10 6  −  1
7
=
999999
7
= 142857
is a cyclic number, we have
n
142857  ×  n
n
 7 
1 142857 × 1 = 142857 0.142857142857...
2 142857 × 2 = 285714 0.285714285714...
3 142857 × 3 = 428571 0.428571428571...
4 142857 × 4 = 571428 0.571428571428...
5 142857 × 5 = 714285 0.714285714285...
6 142857 × 6 = 857142 0.857142857142...