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

1,1

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

Mathematica

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

Crossrefs

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

Sequence in context: A183727 A128383 A052190 * A183844 A034820 A053074

Adjacent sequences: A068781 A068782 A068783 * A068785 A068786 A068787

Keyword

nonn

Author

Robert G. Wilson v, Mar 04 2002

Status

approved