Tagging - 2020-07-23

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Martin Sleziak

06:20

new-tag A new tag covering-sets was created by Jeppe Stig Nielsen. The tag-info is empty.

Q: What are some ("small") Riesel numbers without a covering set?

In the thread Does every Sierpinski number have a finite congruence covering? some examples of proven Sierpiński numbers that seem to have no full covering sets, are given. So it seems natural to ask if the same type of examples have been found for Riesel numbers, i.e. fixed odd positive numbers ...

Covering set

In mathematics, a covering set for a sequence of integers refers to a set of prime numbers such that every term in the sequence is divisible by at least one member of the set. The term "covering set" is used only in conjunction with sequences possessing exponential growth. == Sierpinski and Riesel numbers == The use of the term "covering set" is related to Sierpinski and Riesel numbers. These are odd natural numbers k for which the formula k 2n + 1 (Sierpinski number) or k 2n − 1 (Riesel number) produces no prime numbers. Since 1960 it has been known that there exists an infinite number of both...

3 hours later…

Martin Sleziak

09:10

tag-synonyms Both ceiling-function and floor-function are now synonyms of ceiling-and-floor-functions. Integrand already got Taxonomist badge for the new tag.

The tags were also merged, so revision history shows ceiling-and-floor-functions even on questions which originally had the other tags: math.stackexchange.com/posts/3748203/revisions math.stackexchange.com/posts/502825/revisions

A: Tag management 2020

Resolved. ceiling-function and floor-function merged and synonymed into ceiling-and-floor-functions. Proposal: Combine ceiling-function and floor-function, maybe into ceiling-and-floor-functions. This feels similar to limsup-and-liminf: yes, there are results that deal exclusively with one of t...

tag-synonyms calibrations is now a synonym of calibrated-geometry. (The tags were also merged.)

A: Tag management 2020

Resolved. calibrations renamed to calibrated-geometry Rename calibrations to calibrated-geometry. (Also a name such as (calibrations-differential-geometry) - or something similar - would help with clarifying the content of the tag. However, that seems to be unnecessarily long.) The tag calibrat...

tag-synonyms discontinuous-functions is now a synonym of continuity. (And they were also merged.)

A: Tag management 2020

Resolved: discontinuous-functions merged and synonymed into continuity. Proposal: Eliminate the discontinuous-functions tag. It seems clear that the continuity tag is enough for questions about discontinuous functions.

The recent synonyms were created by Alexander Gruber♦. math.stackexchange.com/tags/synonyms (He also marked several posts in the tag management thread as resolved - maybe in some cases this was a bit premature? I'm not really sure...)