Little math problem(s) February 2019

[pier4r]

(02-23-2019 04:23 PM)Albert Chan Wrote:  If ... meant any positive integers, with no relation to each other, S1 and S2 is not enough.

If ... meant I = {i1, i1 + 1, ... i1 + N-1}, I may be recovered from S1, S2.

No the elements are not related to each other. But please expose every other variant you have got. This is the intended effect, one propose a problem and then it starts explorations in every direction with results reported.

Also while deducing from S1 and S2 the original I is nice, it is a bonus. The question is whether, given a S1 and a S2, we can generate then with only one I, although we don't know which or there are multiple I that generate them.

This arise from me doing stats on the monthly bills.
From a month to another I wondered: "could it be that I sum two different sets of numbers and I get the same S1 and S2?". Doing something eventually produces questions, that produce actions, that produce questions, etc...