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Thanks to this forum, I got running some lines of code in SageMath as follows:

def y(x): return RR(sum(map(log, prime_range(1,x))))
y(20)
16.0876044842000

It takes the log of all primes less than a real value of x and adds them.

Now I'm looking at dividing the log(prime) by that prime before adding them up. Actually, not even adding them up.

So it seems like a reasonable first step to take out the sum() from the function, but this does not work so well:

def y(x): return RR(map(log, prime_range(1,x)))
y(20)

yielding an TypeError: unable to convert '<mapobjectat0x7f7d91273250>' to a real number despite leaving RR or permuting it's position.

I have not even attempted the second logical step of dividing element-wise by prime_range(1,x).

Thanks to this forum, I got running some lines of code in SageMath as follows:

def y(x): return RR(sum(map(log, prime_range(1,x))))
y(20)
16.0876044842000

It takes the log of all primes less than a real value of x and adds them.

Now I'm looking at dividing the log(prime) by that prime before adding them up. Actually, not even adding them up.

So it seems like a reasonable first step to take out the sum() from the function, but this does not work so well:

def y(x): return RR(map(log, prime_range(1,x)))
y(20)

yielding an TypeError: unable to convert '<mapobjectat0x7f7d91273250>' to a real number despite leaving RR or permuting it's position.its position within the function.

I have not even attempted the second logical step of dividing element-wise by prime_range(1,x).

Thanks to this forum, I got running some lines of code in SageMath as follows:

def y(x): return RR(sum(map(log, prime_range(1,x))))
y(20)
16.0876044842000

It takes the log of all primes less than a real value of x and adds them.

Now I'm looking at dividing the log(prime) by that prime before adding them up. Actually, not even adding them up.

So it seems like a reasonable first step to take out the sum() from the function, but this does not work so well:

def y(x): return RR(map(log, prime_range(1,x)))
y(20)

yielding an TypeError: unable to convert '<mapobjectat0x7f7d91273250>' to a real number despite leaving RR or permuting its position within the function.

I have not even attempted the second logical step of dividing element-wise by prime_range(1,x).

log(2) / 2 + log(3) /3