A387528 Numbers k such that A387527(k) = 1.

1, 4, 9, 16, 27, 32, 36, 48, 64, 72, 81, 100, 108, 121, 125, 128, 144, 169, 196, 200, 216, 225, 243, 256, 287, 289, 323, 342, 361, 392, 400, 432, 441, 484, 500, 512, 529, 576, 625, 648, 674, 676, 729, 784, 799, 841, 864, 900, 961, 968, 972, 1000, 1024, 1089, 1125, 1152, 1156, 1225, 1296, 1322, 1331, 1352, 1369, 1372, 1443, 1521, 1568, 1600, 1680

Offset

1,2

Comments

Numbers k such that (k,k+1) has the "Distinct Prime Exponents" property, but (k+1,k+2) does not.

Two positive integers x and y have the "Distinct Prime Exponents" (or DPE) property if their prime factorizations x = Product p_i^e_i and y = Product q_i^f_i are such that the exponent sets {e_i} and {f_i} are disjoint.

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..10000 (first 606 terms from N. J. A. Sloane)

Crossrefs

Cf. A387527, A359749, A387529, A387530 (and A140104), A387531, A387532, and A388967.

Sequence in context: A266336 A027365 A100216 * A333417 A180306 A138994

Adjacent sequences: A387525 A387526 A387527 * A387529 A387530 A387531

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Oct 03 2025

Status

approved