Page 112 - 'Blast_Into_Math

Blast into Math! Prime nummers: indestructimle muilding mlocks

for j> k +1. Can it happen that

N
S j \{z n } n=1 = ∅ for all j> k +1?

What do we know about S ?

∞

S = S k
k=1

contains infinitely many elements but

k

N
S j = {z n } n=1
j=1

contains finitely many elements. By the Infinite Proposition

∞

N
S \{z n } n=1 = S j
j=k+1

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