This document is part of the Martian Time Boneyard. It was originally located at http://www.geocities.com/sotosoroto/modvoph.html.
Author: Mark Knoke
Possible Perpetual Calendars for Mars
Mark Knoke
Aren't prime numbers just grand? I've been working with numbers
between
658 and 679, finding their primes. For the following list, I threw out
combinations with prime numbers over 20 and I kept the number of months
above 9 and below the length of the month. In parentheses are possible
perpetual week-lengths.
Add 3.5 days:
19 of 35 (5)(7)
Add 5.5 days:
17 of 39 (13)
Add 8.5 days:
10 of 66 (6)(11)
11 of 60 (5)(6)(10)(12)(15)
12 of 55 (5)(11)
15 of 44 (11)
20 of 33 (11)
22 of 30 (5)(6)(10)
Subtract 3.5 days:
12 of 56 (7)(8)
14 of 48 (6)(8)(12)
16 of 42 (6)(7)
21 of 32 (8)
24 of 28 (7)
Subtract 6.5 days:
9 of 75 (5)(15)
15 of 45 (5)(9)(15)
25 of 27 (9)
Subtract 7.5 days:
26 of 26 (13)
...So which'll it be, oh fans of ultra-perpetualism?
The Primes:
658 = 2 x 7 x 47 659 = 659 660 = 2 x 2
x 3 x 5 x 11 661 = 661 662 = 2 x 331 663 = 3 x 13 x 17 664 = 2
x 2 x 2 x 83 665 = 5 x 7 x 19 666 = 2 x 3 x 3 x 37 667 = 23 x
29 668 = 2 x 2 x 167 669 = 3 x 223 670 = 2 x 5 x
67 671 = 11 x 61 672 = 2 x 2 x 2 x 2 x 2 x 3 x 7 673 = 673 674
= 2 x 337 675 = 3 x 3 x 3 x 5 x 5 676 = 2 x 2 x 13 x 13 677 =
677 678 = 2 x 3 x 113 679 = 7 x 97
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