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Timeline for modulo of sums of consective powers

Current License: CC BY-SA 3.0

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Mar 7, 2013 at 12:47 comment added Pan Yan Notice that 2, 3, and 5 in the example above are primes.So, if $f_k(k)=-1 mod (k+1)$, does k+1 must be a prime?
Mar 7, 2013 at 12:27 comment added Pan Yan That doesn't seem to have a pattern. Actually I am more interested in the value of $f_k(n)$ modulo $m$, for example, $f_1(1)$=-1 (mod 2), $f_2(2)$=-1 (mod 3), $f_4(4)$=-1 (mod 5). I am wondering whether $f_k(k)$ mod m is related to prime number.
Mar 7, 2013 at 2:36 history edited Robert Israel CC BY-SA 3.0
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Mar 6, 2013 at 23:03 history edited Robert Israel CC BY-SA 3.0
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Mar 6, 2013 at 21:57 comment added user9072 Do you mean for m from 1 to 20?
Mar 6, 2013 at 21:54 history edited Robert Israel CC BY-SA 3.0
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Mar 6, 2013 at 18:59 history answered Robert Israel CC BY-SA 3.0