π(x)(black) and ψ(x)(red) 0.1 | Desmos

Expression 3: "P" Subscript, "r" "i" "m" "e" "C" "o" "u" "n" "t" , Baseline left parenthesis, "x" , right parenthesis equals Start sum from "j" equals 2 to floor left parenthesis, "x" , right parenthesis , end sum, left brace, Start sum from "i" equals 2 to StartRoot, "j" , EndRoot , end sum, left parenthesis, 1 minus left brace, mod left parenthesis, "j" , "i" , right parenthesis greater than 0 , 0 , right brace , right parenthesis equals 0 , 0 , right brace

3

Expression 4: "y" equals Start sum from "n" equals 1 to 250, end sum, StartFraction, 1 Over "n" , EndFraction "P" Subscript, "r" "i" "m" "e" "C" "o" "u" "n" "t" , Baseline left parenthesis, "x" Superscript, StartFraction, 1 Over "n" , EndFraction , Baseline , right parenthesis

4

Expression 5: Start sum from "n" equals 1 to floor left parenthesis, log Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , end sum, StartFraction, "P" Subscript, "r" "i" "m" "e" "C" "o" "u" "n" "t" , Baseline left parenthesis, "x" Superscript, StartNestedFraction, 1 NestedOver "n" , EndNestedFraction , Baseline , right parenthesis Over "n" , EndFraction

5

6

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