1238.31 One minute of our 8,000milediameter planet Earth's great circle arc = one nautical mile = 6,076 feet approximately. A onesecond arc of a great circle of Earth is 6,076/60 = 101.26 feet, which means one second of greatcircle arc around Earth is approximately 100 feet, or the length of one tennis court, or onethird of the distance between the opposing teams' goal posts on a football field. We can say that each second of Earth's great circle of arc equals approximately 1,200 inches (or 1,215.12 "exact"). There are 2 1/2 trillion atomicnucleus diameters in one inch. A hundredth of an inch is the smallest interval clearly discernible by the human eye. There are 25 billion atomicnucleus diameters in the smallest humanly visible "distance" or linear size increment. A hundredth of an inch equals 1/120,000th of a second of greatcircle arc of our spherical planet Earth. This is expressed decimally as .0000083 of a second of greatcircle arc = .01 inch; or it is expressed scientifically as .01 inch = 83 × 10^{7}. A hundredth of an inch equals the smallest humanly visible dust speck; therefore: minimum dust speck = 83 × 10^{7} seconds of arc, which equals 25 billion atomicnucleus diameters^{__}or 2 1/2 million angstroms. This is to say that it requires seven places to the right of the decimal to express the fractional second of the greatcircle arc of Earth that is minimally discernible by the human eye. 
1238.40
Fourteenillion Scheherazade Number: The Fourteenillion
Scheherazade
Number includes the first 15 primes, which are:
1^{n}·2^{12}·3^{8}·5^{6}·7^{6}·11^{6}·13^{6}·17^{2}·19·23·29·31·37·41·43 It reads: 3,128,581,583,194,999,609,732,086,426,156,130,368,000,000 
1238.41 Declining Powers of Factorial Primes: The recurrence of the prime number 2 is very frequent. The number of operational occasions in which we need the prime number 43 is very less frequent than the occasions in which the prime numbers 2, 3, 5, 7, and 11 occur. This Scheherazade Number provides an abundance of repowerings of the lesser prime numbers characterizing the topological and vectorial aspects of synergetics' hierarchy of prime systems and their seven prime unique symmetrical aspects (see Sec. 1040) adequate to take care of all the topological and trigonometric computations and permutations governing all the associations and disassociations of the atoms. 
1238.42 We find that we can get along without multirepowerings after the second repowering of the prime number 17. The prime number 17 is all that is needed to accommodate both the positive and negative octave systems and their additional zero nineness. You have to have the zeronine to accommodate the noninterfered passage between octave waves by waves of the same frequency. (See Secs. 1012 and 1223.) 
1238.43
The prime number 17 accommodates all the positivenegative,
quantawave
primes up to and including the number 18, which in turn
accommodates the two nines of
the invisible twoness of all systems. It is to be noted
that the harmonics of the periodic
table of the elements add up to 92:
There are five sets of 18, though the 36 is not always so recognized. Conventional analysis of the periodic table omits from its quanta accounting the always occurring invisible additive twoness of the poles of axial rotation of all systems. (See Sec. 223.11 and Table 223.64, Col. 7.) 
1238.50 Properties: The 3 fourteenillion magnitude Scheherazade Number has 3 × 10^{43} wholenumber places, which is 10^{37} more integer places than has the 1 × 10^{6} number expressing the 1,296,000 seconds in 360 degrees of wholecircle arc, and can therefore accommodate rationally not only calculations to approximately 1/l00th of an inch (which is the finest increment resolvable by the human eye), but also the 10^{7} power of that minimally visible magnitude, for this 3×10^{43} SSRCD has enough decimal places to express rationally the 22billionlightyearsdiameter of the omnidirectional, celestialsphere limits thus far observed by planet Earth's humans expressed in linear units measuring only l,000ths of the diameter of one atomic nucleus. 
1238.51 Scheherazade Numbers: 47: The first prime number beyond the trigonometric limit is 47. The number 47 may be a flying increment to fill allspace, to fill out the eight triangular facets of the nonallspacefilling vector equilibrium to form the allspacefilling first nuclear cube. If 47 as a factor produces a Scheherazade Number with mirrors, it may account not only for all the specks of dust in the Universe but for all the changes of cosmic restlessness, accounting the convergentdivergent next event, which unbalances the even and rational whole numbers. If 47 as a factor does not produce a Scheherazade Number with mirrors, it may explain that there can be no recurring limit symmetries. It may be that 47 is the cosmic random element, the agent of infinite change. 
1238.52
Addendum Inspired by inferences of Secs.
1223.12,
1224.3034
inclusive and
1238.51,
just before going to press with Synergetics
2, we obtained the following 71
integer, multiintermirrored, computercalculated and
proven, volumetric (third power)
Scheherazade number which we have arranged in ten, "sublimely
rememberable," unique
characteristic rows.
2^{12}·3^{8}·5^{6}·7^{6}·
11^{6}·13^{6}·17^{4}·19^{3}·
23^{3}·29^{3}·31^{3}·37^{3}·
41^{3&}middot;43^{3}·47^{3}
the product of which is
616,494,535,0,868
49,2,48,0 51,88 27,49,49 00,6996,185 494,27,898 35,17,0 25,22, 73,66,0 864,000,000 If all the trigonometric functions are reworked using this 71 integer number, embracing all prime numbers to 50, to the third power, employed as volumetric, cyclic unity, all functions will prove to be whole rational numbers as with the whole atomic populations. 
1238.60
Size Magnitudes
An Atomic Nucleus Diameter = A.N.D. =

1238.70

1238.80 Number Table: Significant Numbers (see Table 1238.80) 
1239.00 Limit Number of Maximum Asymmetry 
1239.10 Powers of Primes as Limit Numbers: Every so often out of an apparently almost continuous absolute chaos of integer patterning in millions and billions and quadrillions of number places, there suddenly appears an SSRCD rememberable number in lucidly beautiful symmetry. The exponential powers of the primes reveal the beautiful balance at work in nature, which does not secrete these symmetrical numbers in irrelevant capriciousness. Nature endows them with functional significance in her symmetrically referenced, mildly asymmetrical, structural formulations. The SSRCD numbers suddenly appear as unmistakably as the full Moon in the sky. 
1239.11 There is probably a number limit in nature that is adequate for the rational, wholenumber accounting of all the possible general atomic systems' permutations. For instance, in the Periodic Table of the Elements, we find 2, 8, 8, 18. These number sets seem familiar: the 8 and the 18, which is twice 9, and the twoness is perfectly evident. The largest prime number in 18 is 17. It could be that if we used all the primes that occur between 1 and 17, multiplied by themselves five times, we might have all the possible number accommodations necessary for all the atomic permutations. 
1239.20 Pairing of Prime Numbers: I am fascinated by the fundamental interbehavior of numbers, especially by the behavior of primes. A prime cannot be produced by the interaction of any other numbers. A prime, by definition, is only divisible by itself and by one. As the integers progress, the primes begin to occur again, and they occur in pairs. That is, when a prime number appears in a progression, another prime will appear again quite near to it. We can go for thousands and thousands of numbers and then find two primes appearing again fairly close together. There is apparently some kind of companionship among the primes. Euler, among others, has theories about the primes, but no one has satisfactorily accounted for their behavior. 
1239.30 Maximum Asymmetry: In contrast to all the nonmeaning, the Scheherazade Numbers seem to emerge at remote positions in numerical progressions of the various orders. They emerge as meaning out of nonmeaning. They show that nature does not sustain disorder indefinitely. 
1239.31 From time to time, nature pulses insideoutingly through an omnisymmetric zerophase, which is always our friend vector equilibrium, in which condition of sublime symmetrical exactitude nature refuses to be caught by temporal humans; she refuses to pause or be caught in structural stability. She goes into progressive asymmetries. All crystals are built in almostbutnot quitesymmetrical asymmetries, in positive or negative triangulation stabilities, which is the maximum asymmetry stage. Nature pulsates torquingly into maximum degree of asymmetry and then returns to and through symmetry to a balancing degree of opposite asymmetry and turns and repeats and repeats. The maximum asymmetry probably is our minus or plus four, and may be the fourth degree, the fourth power of asymmetry. The octave, again. 
Afterpiece 