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while a regular ''n''-gon is known to be not neusis-constructible for ''n'' =
:23, 29, 43, 46, 47, 49, 53, 58, 59, 67, 69, 71, 79, 83, 86, 87, 89, 92, 94, 98, 103, 106, 107, 113, 115, 116, 118, 121, 127, 129, 131, 134, 137, 138, 139, 141, 142, 145, 147, 149, 157, 158, 159, 161, 166, 167, 169, 172, 173, 174, 177, 178, 179, 184, 188, 191, 196, 197, 199, 201, 203, 206, 207, 211, 212, 213, 214, 215, 223, 226, 227, 229, 230, 232, 233, 235, 236, 237, 239, 242, 245, 249, 253, 254, 258, 261, 262, 263, 265, 267, 268, 269, 274, 276, 277, 278, 281, 282, 283, 284, 289, 290, 293, 294, 295, 298, 299, 301, 307, 309, 311, 313, 314, 316, 317, 318, 319, 321, 322, 329, 331, 332, 334, 335, 337, 338, 339, 343, 344, 345, 346, 347, 348, 349, 353, 354, 355, 356, 358, 359, 361, 363, 367, 368, 371, 373, 376, 377, 379, 381, 382, 383, 387, 389, 391, 392, 393, 394, 395, 397, 398, 402, 406, 409, 411, 412, 413, 414, 415, 417, 419, 421, 422, 423, 424, ... {{OEIS|id=A048136}}, similarly modified, since there [[Euler totient function]] is not 5-[[smooth number|smooth]].
while the status is still an open question for ''n'' =
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