Raffle winner selection

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I am creating a raffle with 8191 numbers, ranging from 1 to 8191. Once the raffle is completed I want to select 63 winners, in a way that people could verify how I got that result. For this, I thought of using the numbers from the next lottery, perform some equations on the lottery result ( example: 1, 3, 8, 23, 34, 56) generating those 63 numbers for my own raffle. Like this people could validate the randomness of this selection by performing the same equation. Is this possible? Or if you have another random way that I could select those 63 winners. I know there are a few websites that perform random numbers selection, but I would like to make something so that people are able to see under the hood how we got these results.