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Oct 25, 2023 at 15:11 comment added Adithya Chakravarthy Quite interesting how it takes a while for equidistribution to appear. I still have very little idea how to prove this, but thanks for the data.
Oct 24, 2023 at 20:40 history edited G. Melfi CC BY-SA 4.0
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Oct 24, 2023 at 19:24 history edited G. Melfi CC BY-SA 4.0
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Oct 24, 2023 at 18:05 comment added Henri Cohen You are correct up to 10000: a=5 mod 11 occurs much less than the others (826 compared to an average of 909, and a=9 and a=10 also are small). However if you go further (I went to $10^7$) this disappears. Law of small numbers I guess.
Oct 24, 2023 at 15:15 comment added G. Melfi I performed furhter analyses and I found that equidistribution holds for all $p\le109$ (the greatest I tested), except the case $p=97$ for which the $p$-value is .008.
Oct 24, 2023 at 14:59 history edited G. Melfi CC BY-SA 4.0
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Oct 24, 2023 at 14:50 history answered G. Melfi CC BY-SA 4.0