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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...