A068784 Lesser of two consecutive numbers each divisible by a sixth power.

16767, 29888, 63423, 76544, 109375, 110079, 123200, 156735, 169856, 203391, 216512, 250047, 263168, 296703, 309824, 343359, 356480, 390015, 403136, 436671, 449792, 483327, 496448, 529983, 543104, 576639, 589760, 623295, 636416, 669951

Offset: 1

Author

Robert G. Wilson v, Mar 04 2002

Keywords

• nonn

Comments

The asymptotic density of this sequence is 1 - 2/zeta(6) + Product_{p prime} (1 - 2/p^6) = 0.000045351901298014669... - Amiram Eldar, Feb 16 2021

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A068780, A068781, A068140, A068782, A068783, A068785.

Programs

Mathematica

Select[ Range[2, 10^6], Max[ Transpose[ FactorInteger[ # ]] [[2]]] > 5 && Max[ Transpose[ FactorInteger[ # + 1]] [[2]]] > 5 &]