Expression 10: "y" minus 2 equals StartFraction, left parenthesis, 2 minus "a" Subscript, 2 , Baseline , right parenthesis Over 4 minus "b" Subscript, 2 , Baseline , EndFraction left parenthesis, "x" minus 4 , right parenthesis left brace, "b" Subscript, 2 , Baseline greater than or equal to 4 , right brace left brace, negative StartRoot, "x" , EndRoot less than or equal to "y" less than or equal to 2 , right bracey−2=2−a24−b2x−4b2≥4−x≤y≤2
10
Expression 11: "y" minus 3 equals StartFraction, left parenthesis, 3 minus "a" Subscript, 2 , Baseline , right parenthesis Over 9 minus "b" Subscript, 2 , Baseline , EndFraction left parenthesis, "x" minus 9 , right parenthesis left brace, "b" Subscript, 2 , Baseline greater than or equal to 4 , right brace left brace, negative StartRoot, "x" , EndRoot less than or equal to "y" less than or equal to 3 , right bracey−3=3−a29−b2x−9b2≥4−x≤y≤3
11
Expression 12: "x" equals "a" squared left brace, negative StartRoot, "x" , EndRoot less than "y" less than StartRoot, "x" , EndRoot , right bracex=a21−x<y<x
12
Expression 13: "y" minus 4 equals StartFraction, left parenthesis, 4 minus "a" Subscript, 2 , Baseline , right parenthesis Over 16 minus "b" Subscript, 2 , Baseline , EndFraction left parenthesis, "x" minus 16 , right parenthesis left brace, "b" Subscript, 2 , Baseline greater than or equal to 4 , right brace left brace, negative StartRoot, "x" , EndRoot less than or equal to "y" less than or equal to 4 , right bracey−4=4−a216−b2x−16b2≥4−x≤y≤4
13
Expression 14: "y" minus 11 equals StartFraction, left parenthesis, 121 minus "a" Subscript, 2 , Baseline , right parenthesis Over 121 minus "b" Subscript, 2 , Baseline , EndFraction left parenthesis, "x" minus 121 , right parenthesis left brace, "b" Subscript, 2 , Baseline greater than or equal to 121 , right brace left brace, negative StartRoot, "x" , EndRoot less than or equal to "y" less than or equal to 11 , right bracey−11=121−a2121−b2x−121b2≥121−x≤y≤11
14
Expression 15: "y" minus 5 equals StartFraction, left parenthesis, 5 minus "a" Subscript, 2 , Baseline , right parenthesis Over 25 minus "b" Subscript, 2 , Baseline , EndFraction left parenthesis, "x" minus 25 , right parenthesis left brace, "b" Subscript, 2 , Baseline greater than or equal to 4 , right brace left brace, negative StartRoot, "x" , EndRoot less than or equal to "y" less than or equal to 5 , right bracey−5=5−a225−b2x−25b2≥4−x≤y≤5
15
Expression 16: "y" minus 7 equals StartFraction, left parenthesis, 49 minus "a" Subscript, 2 , Baseline , right parenthesis Over 49 minus "b" Subscript, 2 , Baseline , EndFraction left parenthesis, "x" minus 49 , right parenthesis left brace, "b" Subscript, 2 , Baseline greater than or equal to 49 , right brace left brace, negative StartRoot, "x" , EndRoot less than or equal to "y" less than or equal to 7 , right bracey−7=49−a249−b2x−49b2≥49−x≤y≤7
16
Oh... one way to possibly make the sieve more visually efficient is to use the prime numbers as the building blocks of the sieve itself, to bootstrap towards finding bigger primes.
