Here you can solve interesting problems using whatever programming language you like. Also you will earn [SBI](https://steemit.com/@steembasicincome) and sometimes [STEM](https://stemgeeks.net) by doing so.
Also you might learn new things by doing so.
The tasks will be rather hard to solve without a programmable computer and some programming skills, but if you want to add a few million numbers by hand or similar, I would still give you the reward.
*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*
# Rules
#### No upvote, No resteem, No follow required!
#### I will give 2 SBI for every correct entry.
#### If two pieces of code are to closely related I might consider the later of them as copied which results in no prize for that person.
#### You have 4 days to solve it.
#### Even though this is about computation I will also accept algebraic solutions if you find one.
*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

# Problem
Today I want you to do some numerical stuff.
Consider the following sum:
![Screenshot from 2019-10-27 20-41-05.png](https://cdn.steemitimages.com/DQmPS85hXVwam5ArpdSPqCYGaaDd94UweiJEr5qYYijqPko/Screenshot%20from%202019-10-27%2020-41-05.png)
s is a complex number with
s = 0.5 + yi
The sum does converge for any real y.

#### Now your task is to use numerical methods to find the smallest value for y > 0 where the sum does converge to 0.

You don't need to be more precise than 3 decimal places.

*Tip: The distance between any two consecutive zeros of the sum is generally bigger than 1.*

*Tip 2(added on @crokkon 's request): There are several 100 zeros between 1 and 1000.*

If you don't know complex numbers it would be time to learn about them. They are pretty useful in many cases!

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

To everyone who already participated in a past contest, come back today and try a new problem(tell me if you don't want to be tagged):
@crokkon @kaeserotor

In case no one gets a result(which I doubt), I will give away the prize equivalent of one participant to the person who makes the most constructive description why the problem is too hard in your opinion.

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

@contrabourdon sponsors my contests with 2 STEEM weekly.
You can support him by [using a witness vote on untersatz](https://v2.steemconnect.com/sign/account-witness-vote?witness=untersatz&approve=1), so he can further support this and other contests.