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Rémi EismannOne day, one decomposition A119617: Integers of the form c(n)/b(n) where c(n+1)=c(n)+(n+1)^4 with c(0)=1 and b(n+1)=b(n)+(n+1)^2 with b(0)=13D graph, threejs - webGL ➡️ <a href="https://decompwlj.com/3Dgraph/A119617.html" rel="nofollow noopener" translate="no" target="_blank">https://decompwlj.com/3Dgraph/A119617.html</a> 2D graph, first 500 terms ➡️ <a href="https://decompwlj.com/2Dgraph500terms/A119617.html" rel="nofollow noopener" translate="no" target="_blank">https://decompwlj.com/2Dgraph500terms/A119617.html</a><a href="https://mathstodon.xyz/tags/decompwlj" class="mention hashtag" rel="nofollow noopener" target="_blank">#decompwlj</a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/sequence" class="mention hashtag" rel="nofollow noopener" target="_blank">#sequence</a> <a href="https://mathstodon.xyz/tags/OEIS" class="mention hashtag" rel="nofollow noopener" target="_blank">#OEIS</a> <a href="https://mathstodon.xyz/tags/javascript" class="mention hashtag" rel="nofollow noopener" target="_blank">#javascript</a> <a href="https://mathstodon.xyz/tags/php" class="mention hashtag" rel="nofollow noopener" target="_blank">#php</a> <a href="https://mathstodon.xyz/tags/3D" class="mention hashtag" rel="nofollow noopener" target="_blank">#3D</a> <a href="https://mathstodon.xyz/tags/numbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#numbers</a> <a href="https://mathstodon.xyz/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a> <a href="https://mathstodon.xyz/tags/form" class="mention hashtag" rel="nofollow noopener" target="_blank">#form</a> <a href="https://mathstodon.xyz/tags/graph" class="mention hashtag" rel="nofollow noopener" target="_blank">#graph</a> <a href="https://mathstodon.xyz/tags/threejs" class="mention hashtag" rel="nofollow noopener" target="_blank">#threejs</a> <a href="https://mathstodon.xyz/tags/webGL" class="mention hashtag" rel="nofollow noopener" target="_blank">#webGL</a>

John M. GambleI decided to spend the money. Also it finally dropped down to a two-digit price.<a href="https://fosstodon.org/tags/oeis" class="mention hashtag" rel="nofollow noopener" target="_blank">#oeis</a> <a href="https://fosstodon.org/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://fosstodon.org/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://fosstodon.org/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://fosstodon.org/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a>

Mathematics Channel<a href="https://mathstodon.xyz/tags/naturalnumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#naturalnumbers</a> <a href="https://mathstodon.xyz/tags/RationalNumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#RationalNumbers</a> <a href="https://mathstodon.xyz/tags/RealNumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#RealNumbers</a> <a href="https://mathstodon.xyz/tags/complexnumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#complexnumbers</a> <a href="https://mathstodon.xyz/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a>

Fractal KittyCheck it out - my friend <a href="https://mathstodon.xyz/@speleo" class="u-url mention" rel="nofollow noopener" target="_blank">@speleo</a> published a new blog post - Integers in our Continuum<a href="https://kylehovey.github.io/blog/the-integers-in-our-continuum" rel="nofollow noopener" translate="no" target="_blank">https://kylehovey.github.io/blog/the-integers-in-our-continuum</a>I spent hours contemplating the construction of von Neumann Ordinals for the artwork (And will probably spend many more on consciousness and the continuum.)<a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/continuum" class="mention hashtag" rel="nofollow noopener" target="_blank">#continuum</a> <a href="https://mathstodon.xyz/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a> <a href="https://mathstodon.xyz/tags/godel" class="mention hashtag" rel="nofollow noopener" target="_blank">#godel</a> <a href="https://mathstodon.xyz/tags/computation" class="mention hashtag" rel="nofollow noopener" target="_blank">#computation</a> <a href="https://mathstodon.xyz/tags/categoryTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#categoryTheory</a> <a href="https://mathstodon.xyz/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a> <a href="https://mathstodon.xyz/tags/lambdaCalculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#lambdaCalculus</a>

Rémi EismannOne day, one decomposition A062060: Numbers with 10 odd integers in their Collatz (or 3x+1) trajectory3D graph, threejs - webGL ➡️ <a href="https://decompwlj.com/3Dgraph/A062060.html" rel="nofollow noopener" translate="no" target="_blank">https://decompwlj.com/3Dgraph/A062060.html</a> 2D graph, first 500 terms ➡️ <a href="https://decompwlj.com/2Dgraph500terms/A062060.html" rel="nofollow noopener" translate="no" target="_blank">https://decompwlj.com/2Dgraph500terms/A062060.html</a><a href="https://mathstodon.xyz/tags/decompwlj" class="mention hashtag" rel="nofollow noopener" target="_blank">#decompwlj</a> <a href="https://mathstodon.xyz/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://mathstodon.xyz/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mathstodon.xyz/tags/sequence" class="mention hashtag" rel="nofollow noopener" target="_blank">#sequence</a> <a href="https://mathstodon.xyz/tags/OEIS" class="mention hashtag" rel="nofollow noopener" target="_blank">#OEIS</a> <a href="https://mathstodon.xyz/tags/javascript" class="mention hashtag" rel="nofollow noopener" target="_blank">#javascript</a> <a href="https://mathstodon.xyz/tags/php" class="mention hashtag" rel="nofollow noopener" target="_blank">#php</a> <a href="https://mathstodon.xyz/tags/3D" class="mention hashtag" rel="nofollow noopener" target="_blank">#3D</a> <a href="https://mathstodon.xyz/tags/numbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#numbers</a> <a href="https://mathstodon.xyz/tags/odd" class="mention hashtag" rel="nofollow noopener" target="_blank">#odd</a> <a href="https://mathstodon.xyz/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a> <a href="https://mathstodon.xyz/tags/Collatz" class="mention hashtag" rel="nofollow noopener" target="_blank">#Collatz</a> <a href="https://mathstodon.xyz/tags/trajectory" class="mention hashtag" rel="nofollow noopener" target="_blank">#trajectory</a> <a href="https://mathstodon.xyz/tags/graph" class="mention hashtag" rel="nofollow noopener" target="_blank">#graph</a> <a href="https://mathstodon.xyz/tags/threejs" class="mention hashtag" rel="nofollow noopener" target="_blank">#threejs</a> <a href="https://mathstodon.xyz/tags/webGL" class="mention hashtag" rel="nofollow noopener" target="_blank">#webGL</a>

Knowledge ZoneThe Story of <a href="https://mstdn.social/tags/PrimeNumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#PrimeNumbers</a> and <a href="https://mstdn.social/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a> : MediumAre they <a href="https://mstdn.social/tags/Exomoons" class="mention hashtag" rel="nofollow noopener" target="_blank">#Exomoons</a> or not? Scientists debate existence of 1st moons seen beyond our <a href="https://mstdn.social/tags/SolarSystem" class="mention hashtag" rel="nofollow noopener" target="_blank">#SolarSystem</a> : Live Sci5 New <a href="https://mstdn.social/tags/Animal" class="mention hashtag" rel="nofollow noopener" target="_blank">#Animal</a> <a href="https://mstdn.social/tags/Species" class="mention hashtag" rel="nofollow noopener" target="_blank">#Species</a> Discovered in #2023 : Disc MagCheck our latest <a href="https://mstdn.social/tags/KnowledgeLinks" class="mention hashtag" rel="nofollow noopener" target="_blank">#KnowledgeLinks</a><a href="https://knowledgezone.co.in/resources/bookmarks" rel="nofollow noopener" translate="no" target="_blank">https://knowledgezone.co.in/resources/bookmarks</a>

PhET Sims🥁Drum rolls! We just published Number Line: Operations. This simulation builds on Number Line: Integers by allowing operations on signed integers. Students will solidify their understanding of operations with integers. <a href="https://phet.colorado.edu/sims/html/number-line-operations/latest/number-line-operations_all.html" rel="nofollow noopener" translate="no" target="_blank">https://phet.colorado.edu/sims/html/number-line-operations/latest/number-line-operations_all.html</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mastodon.social/tags/iteachmath" class="mention hashtag" rel="nofollow noopener" target="_blank">#iteachmath</a> <a href="https://mastodon.social/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a>

Statistics GlobeHow to CONFUSE BEGINNERS in Python!How to compare values in the Python programming language. This can be confusing for beginners, in my opinion. <a href="https://mastodon.social/tags/pythontutorial" class="mention hashtag" rel="nofollow noopener" target="_blank">#pythontutorial</a> <a href="https://mastodon.social/tags/coding" class="mention hashtag" rel="nofollow noopener" target="_blank">#coding</a> <a href="https://mastodon.social/tags/datascience" class="mention hashtag" rel="nofollow noopener" target="_blank">#datascience</a> <a href="https://mastodon.social/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a>

Statistics GlobePython INTEGER Trick (EASY Life) !!How to print integers with manually specified separators in the Python programming language. <a href="https://mastodon.social/tags/python" class="mention hashtag" rel="nofollow noopener" target="_blank">#python</a> <a href="https://mastodon.social/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a> <a href="https://mastodon.social/tags/pythonprogramming" class="mention hashtag" rel="nofollow noopener" target="_blank">#pythonprogramming</a> <a href="https://mastodon.social/tags/programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#programming</a>

Jim Donegan 🎵 ✅<a href="https://mastodon.scot/tags/JacobYatsko" class="mention hashtag" rel="nofollow noopener" target="_blank">#JacobYatsko</a> - A New Way To Look At <a href="https://mastodon.scot/tags/Fibonacci" class="mention hashtag" rel="nofollow noopener" target="_blank">#Fibonacci</a> <a href="https://mastodon.scot/tags/Numbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Numbers</a> A look at how <a href="https://mastodon.scot/tags/PisanoPeriods" class="mention hashtag" rel="nofollow noopener" target="_blank">#PisanoPeriods</a> and the <a href="https://mastodon.scot/tags/Modulo" class="mention hashtag" rel="nofollow noopener" target="_blank">#Modulo</a> <a href="https://mastodon.scot/tags/Function" class="mention hashtag" rel="nofollow noopener" target="_blank">#Function</a> can turn the <a href="https://mastodon.scot/tags/FibonacciSequence" class="mention hashtag" rel="nofollow noopener" target="_blank">#FibonacciSequence</a> into strange and fun visual designs. <a href="https://www.youtube.com/watch?v=o1eLKODSCqw" rel="nofollow noopener" target="_blank">https://www.youtube.com/watch?v=o1eLKODSCqw</a> <a href="https://mastodon.scot/tags/Pisano" class="mention hashtag" rel="nofollow noopener" target="_blank">#Pisano</a> <a href="https://mastodon.scot/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a> <a href="https://mastodon.scot/tags/Geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#Geometry</a> <a href="https://mastodon.scot/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#Math</a> <a href="https://mastodon.scot/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mastodon.scot/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a>

PoeticLicenseDK<a href="https://mastodon.online/tags/Integers" class="mention hashtag" rel="tag">#Integers</a>

Jim Donegan 🎵 ✅Is <a href="https://mastodon.scot/tags/Zero" class="mention hashtag" rel="nofollow noopener" target="_blank">#Zero</a> More Than <a href="https://mastodon.scot/tags/Nothing" class="mention hashtag" rel="nofollow noopener" target="_blank">#Nothing</a> ? Introducing the <a href="https://mastodon.scot/tags/ZeroProject" class="mention hashtag" rel="nofollow noopener" target="_blank">#ZeroProject</a> <a href="https://www.youtube.com/watch?v=bUVN7E1wiBs&ab_channel=CloserToTruth" rel="nofollow noopener" target="_blank">https://www.youtube.com/watch?v=bUVN7E1wiBs&ab_channel=CloserToTruth</a> <a href="https://mastodon.scot/tags/Philosophy" class="mention hashtag" rel="nofollow noopener" target="_blank">#Philosophy</a> <a href="https://mastodon.scot/tags/Counting" class="mention hashtag" rel="nofollow noopener" target="_blank">#Counting</a> <a href="https://mastodon.scot/tags/Numbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Numbers</a> <a href="https://mastodon.scot/tags/NumberSystem" class="mention hashtag" rel="nofollow noopener" target="_blank">#NumberSystem</a> <a href="https://mastodon.scot/tags/NumberSystems" class="mention hashtag" rel="nofollow noopener" target="_blank">#NumberSystems</a> <a href="https://mastodon.scot/tags/Arithmetic" class="mention hashtag" rel="nofollow noopener" target="_blank">#Arithmetic</a> <a href="https://mastodon.scot/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mastodon.scot/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#Math</a> <a href="https://mastodon.scot/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mastodon.scot/tags/Representation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Representation</a> <a href="https://mastodon.scot/tags/Metaphysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Metaphysics</a> <a href="https://mastodon.scot/tags/Nothingness" class="mention hashtag" rel="nofollow noopener" target="_blank">#Nothingness</a> <a href="https://mastodon.scot/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a> <a href="https://mastodon.scot/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a> <a href="https://mastodon.scot/tags/Null" class="mention hashtag" rel="nofollow noopener" target="_blank">#Null</a> <a href="https://mastodon.scot/tags/Nihilism" class="mention hashtag" rel="nofollow noopener" target="_blank">#Nihilism</a> #0 <a href="https://mastodon.scot/tags/CloserToTruth" class="mention hashtag" rel="nofollow noopener" target="_blank">#CloserToTruth</a> <a href="https://mastodon.scot/tags/RobertKuhn" class="mention hashtag" rel="nofollow noopener" target="_blank">#RobertKuhn</a>

Rod2ik 🇪🇺 🇨🇵 🇪🇸 🇺🇦 🇨🇦 🇩🇰 🇬🇱<a href="https://mastodon.social/tags/Mathematical" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematical</a> Trio Advances Centuries-Old <a href="https://mastodon.social/tags/Number" class="mention hashtag" rel="nofollow noopener" target="_blank">#Number</a> <a href="https://mastodon.social/tags/Theory" class="mention hashtag" rel="nofollow noopener" target="_blank">#Theory</a> Problem: <a href="https://mastodon.social/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a> that can represented as the <a href="https://mastodon.social/tags/sum" class="mention hashtag" rel="nofollow noopener" target="_blank">#sum</a> of <a href="https://mastodon.social/tags/rational" class="mention hashtag" rel="nofollow noopener" target="_blank">#rational</a> <a href="https://mastodon.social/tags/cubes" class="mention hashtag" rel="nofollow noopener" target="_blank">#cubes</a> . <a href="https://www.quantamagazine.org/mathematical-trio-advances-centuries-old-number-theory-problem-20221129/" rel="nofollow noopener" target="_blank">https://www.quantamagazine.org/mathematical-trio-advances-centuries-old-number-theory-problem-20221129/</a>

रञ्जित (Ranjit Mathew)Nice – <a href="https://mastodon.social/tags/RaymondChen" class="mention hashtag" rel="nofollow noopener" target="_blank">#RaymondChen</a> is always a pleasure to read:“On Finding The Average Of Two Unsigned Integers Without Overflow”, Raymond Chen (<a href="https://devblogs.microsoft.com/oldnewthing/20220207-00/?p=106223" rel="nofollow noopener" target="_blank">https://devblogs.microsoft.com/oldnewthing/20220207-00/?p=106223</a>).Via HN: <a href="https://news.ycombinator.com/item?id=30252263" rel="nofollow noopener" target="_blank">https://news.ycombinator.com/item?id=30252263</a><a href="https://mastodon.social/tags/Arithmetic" class="mention hashtag" rel="nofollow noopener" target="_blank">#Arithmetic</a> <a href="https://mastodon.social/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a> <a href="https://mastodon.social/tags/Average" class="mention hashtag" rel="nofollow noopener" target="_blank">#Average</a> <a href="https://mastodon.social/tags/Mean" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mean</a> <a href="https://mastodon.social/tags/Overflow" class="mention hashtag" rel="nofollow noopener" target="_blank">#Overflow</a> <a href="https://mastodon.social/tags/BitTwiddling" class="mention hashtag" rel="nofollow noopener" target="_blank">#BitTwiddling</a> <a href="https://mastodon.social/tags/Efficiency" class="mention hashtag" rel="nofollow noopener" target="_blank">#Efficiency</a> <a href="https://mastodon.social/tags/Assembly" class="mention hashtag" rel="nofollow noopener" target="_blank">#Assembly</a>

रञ्जित (Ranjit Mathew)I’ve not been comfortable with the <a href="https://mastodon.social/tags/Google" class="mention hashtag" rel="nofollow noopener" target="_blank">#Google</a> style-guide’s diktat against using <a href="https://mastodon.social/tags/unsigned" class="mention hashtag" rel="nofollow noopener" target="_blank">#unsigned</a> (<a href="https://google.github.io/styleguide/cppguide.html#Integer_Types" rel="nofollow noopener" target="_blank">https://google.github.io/styleguide/cppguide.html#Integer_Types</a>), but this is the other extreme:“Almost Always Unsigned”, Dale Weiler (<a href="https://graphitemaster.github.io/aau/" rel="nofollow noopener" target="_blank">https://graphitemaster.github.io/aau/</a>).Via HN: <a href="https://news.ycombinator.com/item?id=29766658" rel="nofollow noopener" target="_blank">https://news.ycombinator.com/item?id=29766658</a><a href="https://mastodon.social/tags/Arithmetic" class="mention hashtag" rel="nofollow noopener" target="_blank">#Arithmetic</a> <a href="https://mastodon.social/tags/Programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#Programming</a> <a href="https://mastodon.social/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a>

रञ्जित (Ranjit Mathew)Even after so many years, my head hurts 😵‍💫 when I read such things about <a href="https://mastodon.social/tags/C" class="mention hashtag" rel="nofollow noopener" target="_blank">#C</a> & <a href="https://mastodon.social/tags/CPlusPlus" class="mention hashtag" rel="nofollow noopener" target="_blank">#CPlusPlus</a> – <a href="https://mastodon.social/tags/Go" class="mention hashtag" rel="nofollow noopener" target="_blank">#Go</a>, for example, has saner & simpler semantics:“The Usual Arithmetic Confusions”, Shafik Yaghmour (<a href="https://shafik.github.io/c++/2021/12/30/usual_arithmetic_confusions.html" rel="nofollow noopener" target="_blank">https://shafik.github.io/c++/2021/12/30/usual_arithmetic_confusions.html</a>).<a href="https://mastodon.social/tags/Arithmetic" class="mention hashtag" rel="nofollow noopener" target="_blank">#Arithmetic</a> <a href="https://mastodon.social/tags/Programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#Programming</a> <a href="https://mastodon.social/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a> <a href="https://mastodon.social/tags/Conversion" class="mention hashtag" rel="nofollow noopener" target="_blank">#Conversion</a> <a href="https://mastodon.social/tags/Promotion" class="mention hashtag" rel="nofollow noopener" target="_blank">#Promotion</a>

रञ्जित (Ranjit Mathew)"Solutions To Integer Overflow" [2016], John Regehr (<a href="https://blog.regehr.org/archives/1401" rel="nofollow noopener" target="_blank">https://blog.regehr.org/archives/1401</a>).On HN: <a href="https://news.ycombinator.com/item?id=12417802" rel="nofollow noopener" target="_blank">https://news.ycombinator.com/item?id=12417802</a>"Integer Overflow Checking Cost" [2014], Dan Luu (<a href="https://danluu.com/integer-overflow/" rel="nofollow noopener" target="_blank">https://danluu.com/integer-overflow/</a>).<a href="https://mastodon.social/tags/Programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#Programming</a> <a href="https://mastodon.social/tags/Integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#Integers</a> <a href="https://mastodon.social/tags/PLDI" class="mention hashtag" rel="nofollow noopener" target="_blank">#PLDI</a> <a href="https://mastodon.social/tags/Overflow" class="mention hashtag" rel="nofollow noopener" target="_blank">#Overflow</a> <a href="https://mastodon.social/tags/Safety" class="mention hashtag" rel="nofollow noopener" target="_blank">#Safety</a>

mc ☕<a href="https://qoto.org/tags/calvin" class="mention hashtag" rel="nofollow noopener" target="_blank">#calvin</a> on <a href="https://qoto.org/tags/integers" class="mention hashtag" rel="nofollow noopener" target="_blank">#integers</a>

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