A322690 Four-column table read by rows: Primitive distinct quadruples that have the same value of phi, sigma, and tau.

1167320, 1197912, 1275318, 1345542, 3502548, 3536232, 3684252, 3695412, 4846520, 4980792, 5302638, 5594622, 5196000, 5299680, 5857830, 6000150, 5276448, 5568672, 5605308, 5764220, 6115656, 6510834, 6866106, 6869346, 6119520, 6159780, 6586650, 6928350

Offset: 1

Author

Jud McCranie, Dec 30 2018

Keywords

• nonn
• tabf

Comments

The terms are consecutive quadruples, ordered so that (A) a(4i-3) < a(4i-2) < a(4i-1) < a(4i) for i > 0, and (B) a(4i+1) < a(4i+5) for i >= 0. This sequence has primitive terms only. If k is relatively prime to all of the terms in a primitive quadruple, then multiplying the terms in that quadruple by k gives another solution - see A322680.

Examples

			1167320, 1197912, 1275318, and 1345542 have the same value of phi (362880), sigma (3283200), and tau (64), so these four numbers are in the sequence.
		

Links

• Jud McCranie, Table of n, a(n) for n = 1..4000

Crossrefs

Cf. A134922, A322680, A322688, A322689, A322691, A322692, A322693, A322694, A322695, A322696, A322697.