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.) 
1238.52
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. 
1238.70

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 