Template:Sequence of the Day for January 23

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.

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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...