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For advice which has more recently been affirmed by members of the WikiProject, see WikiProject Numbers/Guidelines.
Just about anyone even casually acquainted with number theory knows the anecdote about the mathematicians Hardy and Ramanujan talking about the seeming uninterestingness of the number 1729.
In the context of Wikipedia, Wikipedia:WikiProject Numbers asks that three interesting properties of a number be gathered before even considering creating an article on that number.
Sometimes there is agreement that a given mathematical property is interesting (e.g., that 1729 is the sum of two cubes in two different ways), so there is no problem. Other times there is disagreement, and some way of measuring the interestingness of a property in relation to a given number is necessary.
Hopefully the following questionnaire will prove useful in those situations, providing help in evaluating how interesting an integer's mathematical property is. Do note that the purpose of this questionnaire is to help determine if a mathematical property is interesting enough to create an article on the given number. It might be acceptable for an article on a number to mention properties that were not deemed interesting enough to justify the article in the first place, as long as the properties that were interesting enough are also mentioned.