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Re: Divisibility rules
Posted:
Jun 15, 2012 1:06 PM
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Note that Mayan super number (reported last month by the journal SCIENCE dated to 419 AD) 341640 can be divided by 11960 (405-moons) gives 28 + 26(260). The same class of 260 remainder is found by beginning with smaller Mayan composite numbers:
1. 37960/1820 = 20 + 6(260)
2. 37960/11960 = 3 + 8(260)
3. 11960/1820 = 20 + 6(260)
neat Mayan quotient and remainder thinking ... that was used to premature nominal and theoretical planetary and lunar cycles to predict actual astronomical events.
Egyptian, Greek, Hellene, Arab and medieval divisibility rules stressed prime number factoring. For example, by 1650 BCE Ahmes created 2/n tables by scaling 2/n by an LCM m such that 2/p was converted to concise unit fraction series by solving 2/p x m/m = 2m/mp ie:
1. 2/7 times 4/4 = 8/28 = (7 + 1)/28 = 1/4 + 1/28
2. 2/41 times 24/24 = 48/984 = (41 + 4 + 3)/984 = 1/24 + 1/246 + 1/328
3. 2/43 times 42/42 = 84/1806 = (43 + 21 + 14 + 6)/1806 = 1/42 + 1/86 + 1/129 + 1/301
http://rmprectotable.blogspot.com/
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