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A302838
Values of A000010(m) where the value and least solution m are both divisible by the number of solutions of A000010(m) = A000010(x).
1
20, 204, 444, 500, 564, 588, 684, 744, 1160, 1284, 1416, 1644, 1704, 1764, 1812, 2124, 2172, 2480, 2604, 2844, 2892, 2964, 3084, 3156, 3192, 3320, 3324, 3396, 3492, 3560, 3576, 3756, 3972, 4116, 4164, 4404, 4476, 4520, 4572, 4740, 4764, 5004, 5352, 5360, 5364, 5496, 5532, 5604, 5772, 5840, 6200
OFFSET
1,1
COMMENTS
For known terms the number of solutions is prime.
All known terms are nonsquarefree.
FORMULA
0 = A000010(m) mod #{A000010(m) = A000010(x)} = A000010(m) mod min({A000010(m) = A000010(x)}).
EXAMPLE
20 is a term because 25 is the least solution of 20 = A000010(x) and the number of solutions 5, divides 20 and 25.
204 is a term because 309 is the least solution of 204 = A000010(x) and the number of solutions 3, divides 204 and 309.
1764 is a term because 2107 is the least solution of 1764 = A000010(x) and the number of solutions 7, divides 1764 and 2107.
10 is not a term because 11 is the least solution of 10 = A000010(x) and the number of solutions 2, does not divide 10 and 11.
CROSSREFS
Sequence in context: A099197 A041766 A121088 * A302921 A334692 A325474
KEYWORD
nonn
AUTHOR
Torlach Rush, Apr 13 2018
STATUS
approved