Words Are Numbers (WAN) - The PjProblemStrings Sequences
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Expressions Of Pj Problems
Words Are Numbers (WAN) - The PjProblemStrings Sequences

The following sequences of prime numbers represent three different four letter words:

(i) 1337195
(ii) 21135225
(iii) 35233115

Determine the PjProblemStrings sequence used to establish the sequences of prime numbers as words. Then indicate the words the above sequences of prime numbers represent.

The strings: PjProblemStrings of primary interest:
S7P1A17 - (containership - location)
S7P2A21 - (identity - physical)
S7P3A32 - (force - push)
S7P6A62 - (grouping/interaction-single criterion permutation)
S7P3A31 - (force - pull)
S7P4A41 - (motion - linear)
S7P5A51 - (change - physical)

The linearity of the alphabet is the reason for the ordered pair of letters and numbers:

(A,1)   (B,2)   (C,3)   (D,4)   (E,5)   (F,6)   (G,7)   (H,8)   (I,9)   (J,10)   (K,11)   (L,12)    (M,13)   (N,14)
(O,15)   (P,16)   (Q,17)   (R,18)   (S,19)   (T,20)   (U,21)   (V,22)   (W,23)   (X,24)   (Y,25)   (Z,26)

The following PjProblemStrings sequence established the ordered pairs:
S7P1A17 - (containership - location)
S7P2A21 - (identity - physical)
S7P3A32 - (force - push)
S7P6A62 - (grouping/interaction-single criterion permutation)

The selection of the sequence of numbers of interest and their reduction to the sequence of prime numbers are established by the following PjProblemStrings sequence:
S7P3A31 - (force - pull)
S7P4A41 - (motion - linear)
S7P6A62 - (grouping/interaction-single criterion permutation)
S7P5A51 - (change - physical)

So, the PjProblemStrings sequence used to establish the sequences of prime numbers as words is:
S7P1A17S7P2A21S7P3A32S7P6A62S7P3A31S7P4A41S7P6A62 S7P5A51

Four letter words represented by the given sequences of prime numbers are:
(i) Muse - to ponder
(ii) Blot - stain
(iii) Orle - a heraldic border.

In general, any word can be represented by a sequence of numbers from a defined number system. For example, the use of numbers from the binary number system and hex number system to represent words is prevalent in computer science. The method described here can be used to represent any word as a sequence of prime numbers, or as a sequence containing 1 and a sequence of prime numbers.

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