A372296 Taxicab numbers that are sandwiched between nonsquarefree numbers.

20683, 216125, 327763, 593047, 684019, 842751, 1845649, 2691451, 4505949, 4744376, 5004125, 5772403, 6058747, 7640128, 8029000, 8216000, 8494577, 10702783, 10765603, 10821896, 11859211, 12533824, 13731319, 14916727, 16776487, 18406603, 18617625, 20616463, 22031576, 24480125, 25937576, 27529073

Offset: 1

Author

Massimo Kofler, Apr 25 2024

Keywords

• nonn

Examples

			20683 = 13 * 37 * 43 (between 20682 = 2 * 3^3 * 383 and 20684 = 2^2 * 5171).
216125 = 5^3 * 7 * 13 * 19 (between 216124 = 2^2 * 71 * 761 and 216126 = 2 * 3^2 * 12007).
327763 = 31 * 97 * 109 (between 327762 = 2 * 3^2 * 131 * 139 and 327764 = 2^2 * 67 * 1223).
		

Links

• Christian Boyer, Les nombres Taxicabs, in Dossier Pour La Science, pp. 26-28, Volume 59 (Jeux math') April/June 2008 Paris.

Crossrefs

Cf. A001235, A011541, A013929, A371602.

Programs

Mathematica

Select[Import["https://oeis.org/A001235/b001235.txt", "Table"][[;; , 2]], # < 3*10^7 && Nor @@ SquareFreeQ /@ (# + {-1, 1}) &] (* Amiram Eldar, Apr 25 2024 *)