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Hydration, Periodicity & Prime Numbers. S.H. Shakman
(1) Groups of atomic numbers (Z) with near-equal Fig. 1:
hydrated Z values per Flint* (Zh) correlate with Z Zh MG
Mendeleev Groups(MG)** as in Fig.1. Prime 'Z's in 3 183 1
Fig.1 (bold) include 4 of total 8 prime numbers 29 182
in MG1, 2 of 4 in MG2, & 2 of 3 in MG7. 55 181
(2) Symmetry of prime nos. w/in Flint's matrix is 4 175 2
highlighted when no. 89 thru 1 are superimposed on 30 174
series 1-89; 20 of 25 primes in each series would 56 173
be superimposed on a prime in the other, at points 5 167 3
circled in Fig.2 (89 on 1, 83 on 7, which points 31 166
describe arcs 1-23-47-73,7-29-53-79,7-31-53-73... 57 165
(3) First gap exceeding five between primes(89-97) 11 119 1
(a) encompasses 92, concluding atomic number of 37 118
Figure 2: natural elements & 17 71 7
Flint's matrix, !=prime. Flint periods*; 43 70
____________________________ (b) coincides w/the
0.!!!.!.!...!.!...!.!...!23 start of the "Actinides"**
(89 is also Fibonacci no.); &
23!.....!.!.....!...!.!...46 (c) foreshadows larger gap: In
extended Flint's matrix as in
46.!.....!.....!.!.....!..69 Fig.2, light from above
37-41 through 89-97 would
69..!.!.....!...!.....!.......!97 illuminate gap 113-127.
92.....!...!.!...!.!...!..............!127
* FLINT, L.H., Behavior Patterns of Hydration (1964), 21.
** CRC Handbook of Chemistry and Physics, 1984-5.
IOS
BOOKS
Copyright 1985
(TXu219626); 1987 (TXu271794)
S H
Shakman. All rights reserved.
Proposed for
1988 AAAS Meeting, AAAS # 0925.17; withdrawn 25 Sept. 1987.
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