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Henry Bushby Transcription pages

VM533B94v4-p051.jpg

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51
1 + 4 points to S2, & it is to be
noted that S4 6b/18c is on 2z -
In S4 9b/27c, 1 + 4 also gives a ring
though this is on 1z.
It looks as though the rule
applying to S2 applied also to S4
and that the rule ought to be stated
thus:-
Let P be any prime factor of n -
Thengreater than unity. ^ (It may equal n.) Then rings
are formed by joining x to
(M2 X P) – 1.
Test this with S6 11b/55c. A priori
since P may be 2 & 3, one would
expect that
+ 1 + (1 X 2 X 2) – 1 = 1 + 3 yes no
1 + (1 X 2 X 3) – 1 = 1 + 5 no
1 + (2 X 2 X 2) - 1 = 1 + 5 no
[Caption: Rule breaks down] 1 + (2 X 2 X 3) - 1 = 1 + 11 no
+ 1 + (4 X 2 X 2 ^ 16) – 1 = 1 + 15 yes no
1 + (4 X 2 X 3) – 1 = 1 + 23 non existent
1 + (6 X 2 X 2) – 1 =1 + 23 [ditto marks] [ditto marks]
1 + 12 ring = 1 +

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