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edited Oct 8, 2016 at 12:12

A trivialsimple solution would be to define the function

\[CapitalPhi][m_, k_] := Cyclotomic[m, k]

Then write your comparision as

myPi[n_] := Sum[KroneckerDelta[\[CapitalPhi][m, 1], m], {m, 1, n}]
myPi[1001] == PrimePi[1001]

(* Out[505]= True *)

Copying the first line as Latex gives the string

\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}

which shows up as

$$\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}$$

A trivial solution would be to define the function

\[CapitalPhi][m_, k_] := Cyclotomic[m, k]

Then write your comparision as

myPi[n_] := Sum[KroneckerDelta[\[CapitalPhi][m, 1], m], {m, 1, n}]
myPi[1001] == PrimePi[1001]

(* Out[505]= True *)

Copying the first line as Latex gives the string

\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}

which shows up as

$$\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}$$

A simple solution would be to define the function

\[CapitalPhi][m_, k_] := Cyclotomic[m, k]

Then write your comparision as

myPi[n_] := Sum[KroneckerDelta[\[CapitalPhi][m, 1], m], {m, 1, n}]
myPi[1001] == PrimePi[1001]

(* Out[505]= True *)

Copying the first line as Latex gives the string

\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}

which shows up as

$$\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}$$

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created Oct 8, 2016 at 10:59

A trivial solution would be to define the function

\[CapitalPhi][m_, k_] := Cyclotomic[m, k]

Then write your comparision as

myPi[n_] := Sum[KroneckerDelta[\[CapitalPhi][m, 1], m], {m, 1, n}]
myPi[1001] == PrimePi[1001]

(* Out[505]= True *)

Copying the first line as Latex gives the string

\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}

which shows up as

$$\text{myPi}(\text{n$\_$})\text{:=}\sum _{m=1}^n \delta _{\Phi (m,1),m}$$