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If you mine using the client wallet/daemon you are solo mining, and will only get coins when you find a block. Your hashrate seems pretty low, but if you want to estimate the time it will take you to find a block, just divide difficulty by your hashrate to get estimated time in seconds. So, 15M/15 is approximately 1M s, or 12 days. If you want small incremental rewards you need to mine on a pool.
Thanks! So it sounds like my laptop isn't really powerful enough for solo mining. I read something on reddit about this not requiring much power and it could be done on a phone. Figured I would dip my toes into the water.
One block every couple weeks isn't too bad. Imagine if you could solomine a bitcoin block every couple weeks
It kind of sounds like your laptop CPU does not have AES capability, which is very important to speed for mining cryptonight(-light). But if you just want to mess around and not expecting to make lots of profit, go for it.