A322696 Ten-column table read by rows: Primitive distinct 10-tuples that have the same value of phi, sigma, and tau.

5701466232, 5806935288, 5824716000, 5863036500, 5940941280, 5978840580, 5980026420, 6376872150, 6520948434, 6566627430, 5806935288, 5824716000, 5863036500, 5940941280, 5978840580, 5980026420, 6376872150, 6520948434, 6566627430, 6726168150

Offset

1,1

Comments

The terms are consecutive 10-tuples, ordered so that (A) a(10i-9) < a(10i-8) < ... < a(10i) for i > 0, and (B) a(10i+1) < a(10i+11) for i >= 0. This sequence has primitive solutions only. If k is relatively prime to all of the terms in a primitive 10-tuple, then multiplying the terms in that 10-tuple by k gives another solution - see A322686.

Links

Jud McCranie, Table of n, a(n) for n = 1..300

Example

5701466232, 5806935288, 5824716000, 5863036500, 5940941280, 5978840580, 5980026420, 6376872150, 6520948434, and 6566627430 have the same value of phi (1443225600), sigma (20473689600), and tau (384), so these ten numbers are in the sequence.

Crossrefs

Cf. A134922, A322686, A322688, A322689, A322690, A322691, A322692, A322693, A322694, A322695, A322697.

Sequence in context: A343979 A210013 A322686 * A322687 A322697 A365144

Adjacent sequences: A322693 A322694 A322695 * A322697 A322698 A322699

Keyword

nonn,tabf

Author

Jud McCranie, Dec 30 2018

Status

approved