Here you can solve interesting little problems using whatever programming language you like. Also you will earn SBI and STEM 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 will still give you the reward.

By the way: The image shown above is not a solution to the given problem although this piece of code might be useful in the context of this contest.
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Rules

No upvote, No resteem, No follow required!

I will give 1 SBI to 1 random person who put a correct or partly correct solution of the problem in a comment.

I will give 10 STEM to every participant. I hope that you stake them, but they will be yours, so you can do with them whatever you want.

You have 4 days to solve it.

Even though this is about computation I will also accept algebraic solutions if you find one.

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Problem

Tell me the sum of all numbers that are:

1. not divisible by any prime number less than 100 AND
2. also not a prime themselves AND
3. smaller than 1 000 000.

is that sum a prime?

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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):
@null

In case no one gets a result(which I doubt), I will give away the prize to anyone who comments.

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@contrabourdon sponsors my contests with 2 STEEM weekly.
You can support him by using a witness vote on untersatz, so he can further support this and other contests.