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EDWhat is a prime number? How do you know the number you are looking at is a prime number? All of these questions are answered in this reel.
#primenumbers #mathematics #tutorials
@educhamp3
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MAPrime Numbers in just 40 Seconds #numbers #prime #educational #tipsandtricks #mathlogic
@maths_with_nj
144
PRWhy 2 is called the smallest prime not 1.
@professorofmathenglish
775.5K
STPrime numbers are numbers that have no factors other than one and themselves. The first 10 prime numbers are 2,3,5,7,11,13,17,19,23,29...
Since prime numbers must have no factors other than one and themselves, prime numbers greater than two cannot be even, as if a prime number greater than two was even, it would have a factor of 2 in it, making it not a prime number.
By a similar argument, prime numbers greater than 3 are not divisible by 3. Using these two rules together, prime numbers greater than 3 cannot be of the form 6k, 6k+2, 6k+3 or 6k+4.
So the only forms that prime numbers greater than 3 can be are the forms 6k+1 and 6k+5. In modular arithmetic, this would be referred to as a prime p which is greater than 3 is congruent to 1(mod 6) or congruent to 5(mod 6).
Consider squaring this value:
if p = 6k+1,
p²= 6²k² + 2*6k + 1
= 36k² + 12k +1
= 24k² + 12k² + 12k +1
= 24k² + 12(k² + k) + 1
Consider what k² + k would be,
if k was odd, k² is odd, so k² + k is even.
if k was even, k² is even, so k² + k is even.
So k² + k has a factor of two.
This means 12(k²+k) is a multiple of 24. 24k² is a multiple of 24. So if you just get rid of the one at the end we get a multiple of 24.
If we consider the only other form a prime number can have,
if p = 6k + 5,
p² = 6²k² + 2*6*5k + 5²
= 36k² + 60k + 25
= 24k² + 12k² + 12k + 48k + 24 +1
= 24k² + 12(k²+k) + 48k + 24 +1
As we found earlier, 12(k²+k) is a multiple of 24. The rest of the terms except for 1 are multiples of 24. So clearly if we remove the one in this case aswell, we will get a multiple of 24.
Therefore, in general, if we take a random prime number greater than 3, square it and take away one, we will be left with a multiple of 24.
Have a nice day :)
#memes #meme #stemeducation #mathematics #mathmemes
@stem.memes4u
374.1K
MATwinfinity Maths
Can you solve this tricky maths problem? #fyp #mathematics #maths #unitedstatesofamerica #mathtrick
@maths.ematicss
187
THIs 67 a prime number 🙄🤔, Comment your thoughts 💭
#mind #prime #primenumbers #mathematics #maths
@the.topestest
2.6K
MAThe perfect whole number hiding inside pi. 🤯⭕️
Everyone knows the area of a unit circle is π (about 3.14). But did you know there is a perfect, clean whole number hiding right inside it?
If you inscribe a 12-sided polygon (a dodecagon) perfectly inside that circle, the math does something incredibly satisfying. By slicing the shape into 12 identical triangles and applying a tiny bit of trigonometry—specifically sin(30°) = 0.5—the area collapses perfectly into exactly 3!
No decimals. No infinite digits. Just 3. 📐✨
Watch the animation to see the visual proof unfold! What other mathematical secrets should we uncover next? Drop your ideas in the comments! 👇
Follow @mathbuthow for more satisfying visual math! 🚀
#MathButHow #VisualMath #Geometry #MathTricks #fypppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
@mathbuthow
130
TUMultiplication trick for 9 #brainteaser #maths #
@tutor_olaj
3.0K
MATwinfinity Maths • ago
99% of students Can’t solve This Math Question #math #mathematics #mathematicschallenge #mathtrick #algebra
@maths.ematicss
3.4K
EXPrime numbers from 1 to 100 are the numbers that have only two factors: 1 and themselves. Here is the complete list:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
👉 Note: 1 is not a prime number because it has only one factor.
#Explore #MathFacts
#PrimeNumbers #NumberTheory #Mathematics
@exam_arc
448
PRHow to rationalize binomial denominator
#binomial #denominator #viralpost #trendingpost #mathslesson #facebookpostシ #mathsreel #mathsvideo #mathskills
@prospermaths
446
MASubtracting fractions from whole numbers is actually super easy 😍 Just subtract the numerator from the denominator and you’ll get the answer in seconds 🔥
#fractions #maths #mathtricks #learnmath #easyMath
@maths.hortcut
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