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Search: a309307 -id:a309307
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Number of numbers m satisfying 1 < m < n such that m^2 == m (mod n).
+10
3
0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 6, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 6, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 6, 0, 2, 2, 0, 2, 6, 0, 2, 2, 6, 0, 2, 0, 2, 2, 2, 2, 6, 0, 2, 0, 2, 0, 6, 2, 2, 2, 2, 0, 6, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 6, 0, 2, 6
Numbers that are not powers of primes (A024619) whose harmonic mean of their unitary divisors that are larger than 1 is an integer.
+10
3
6, 15, 20, 24, 28, 30, 45, 60, 72, 90, 91, 96, 100, 112, 153, 216, 220, 240, 264, 272, 325, 352, 360, 364, 378, 496, 703, 765, 780, 816, 832, 1056, 1125, 1170, 1225, 1360, 1431, 1512, 1656, 1760, 1891, 1900, 1984, 2275, 2448, 2520, 2701, 2912, 3024, 3168, 3321
Numbers that are not powers of primes (A024619) whose harmonic mean of their proper unitary divisors is an integer.
+10
2
228, 1645, 7725, 88473, 20295895122, 22550994580
Irregular triangle read by rows: for n >= 1 row n lists the k from [1, 2, ... , n] such that A002378(k-1) = (k-1)*k == 0 (mod n).
+10
1
1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 3, 4, 6, 1, 7, 1, 8, 1, 9, 1, 5, 6, 10, 1, 11, 1, 4, 9, 12, 1, 13, 1, 7, 8, 14, 1, 6, 10, 15, 1, 16, 1, 17, 1, 9, 10, 18, 1, 19, 1, 5, 16, 20, 1, 7, 15, 21, 1, 11, 12, 22, 1, 23, 1, 9, 16, 24, 1, 25

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