The current difficulty for mining Litecoins is about 6. If I mine them at 25kh/s, how often should I expect to solve a block with a difficulty of 6?
I'd also appreciate an explanation (or formula) of how the calculation is done.
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I don't know much about Litecoin, but if its difficulty works the same as in Bitcoin, then on average it takes approximately
difficulty * 2^32 hashes to solve each block.
Since you're calculating 25000 hashes per second, it should take you around
6 * 2^32 / 25000 seconds to solve a block. Or about 286 hours.
Does that sound about right?