# Can we stand for just one more ordered set puzzle?

Actually, probably not. You might want to sit down for this one. I'll try not to ramble. Haven't we done this before? Out with the old, in with the new! Let's go!!

The following is the first 7 numbers in an ordered set:

1431, 135, 2321, 1730, 2166, 1177, 1211, ...

What is the next number?

• Question - Are there any clues provided in the question or is it just about guessing? – Techidiot Jan 19 '17 at 5:39
• Yes I have been adding clues to bring the puzzle in line with the current standards. :) – wildBillMunson Jan 19 '17 at 5:40
• Sorry about all the edits. I am happy with the clues I have in there now. Next time, I'll try to get it right before posting!! – wildBillMunson Jan 19 '17 at 5:46
• The Langrage Interpolation gives (surprisingly) a whole number - 48247. The polynomial: $p(x)=\frac{5495x^6}{144}−\frac{224963x^5}{240}+\frac{1315745x^4}{144}−\frac{2152453x^3}{48}+\frac{2074405x^2}{18}−\frac{8612033x}{60}+66325$ – boboquack Jan 19 '17 at 5:48
• @boboquack Wow that was elaborate! However, note the lack of the mathematics tag. No calculator needed to solve this one! – wildBillMunson Jan 19 '17 at 5:49