Euler’s Totient Function (Phi Function)

[@efthymiapp6507]

i love you, you have the best tutotials in this platform THANK YOUUUUUUUU!!!!!!!

[@renukamatheswaran3116]

Crystal clear.Thank so very much.....❤

[@raminiskandarov]

thank you very much, i just researched 2 day long for understand totient function

[@renositon4344]

and now you speak so well. Thank you sir!

[@Oberatous-Udurabas]

How would you find phi(1)? since there are no integers less than 1 and one is not prime or composite?

[@kalyani5964]

Very good explanation 🎉😊 tqq soo much

[@janhaviitankar4154]

It is really helpful for last moment😆

[@taskeensyed3445]

Very nice Explanation

[@abhinandanjain2399]

ThAnk you sir for amazing video . Concept crystal clear kar diye hain aapne.

[@balajimetla3886]

nice explanation sir

[@guaroy2393]

Yes right now

[@king__official1429]

Thnks❤❤❤

[@henr2000]

this is really amazing! thanks a lot!

[@Juanilloelcrack]

Gracias!

[@m.a.official5184]

Tnk ku so much sir ❤️

[@mdmuradhasan4267]

Thanks

[@samia4564]

Thnx for this helpful video

[@jadenjoseph2746]

What if the number is big like 240

[@agbaiobasi7390]

You are the best.

[@taskeensyed3445]

Thank You for this video

[@jithendragowda7269]

Sir kindly confirm me wheather 4 is a prime number or not?

[@bestcricketcaptain3009]

sir why are you do not include 0 in numbers less than 11

[@alifardanqureshi2969]

Is there no shorter way to do it. What if I have a number 150? Will i make a table for all the numbers below it and find their GCD,?? There must be another way as well to calculate euler function for larger numbers

[@TheAnonid]

Assume the number to be N, now represent it's prime factorization N = a^x * b^y * c^z...... Phi(N) = N(1-1/a)(1-1/b)(1-1/c)....... this will give you a count of no. prime to N but are less than N. If N is prime Phi(N) = N-1

[@Lost-for-you]

​@@TheAnonidcan you give me in a example representation 😅

[@TheAnonid]

take an example of 7, Phi(N) = 6 1 and 7 are co prime, 2 and 7, 3 and 7, 4 and 7, 5 and 7, 6 and 7 Thus, total 6 numbers are co-prime to 7, means their HCF is 1 So, instead of doing this individually for bigger numbers, you can use the formulas I gave@@Lost-for-you

[@minboooooo]

How to find fi(100)

[@LaforaQueen]

Sir 4 is not a prime number!?

[@TheBrinkofDestruction]

this doesn't actually cover the function, just what it represents...

[@SudamNana]

Please Start Teaching Aptitude. 🙏

[@gandhijainamgunvantkumar6783]

thank you :)

[@AyushSingh-ff4hc]

how will you find eular of 81

[@shlokbhakta2893]

81 = 3^4 (There is a formula) Totient(p^n) = (p^n) -(p^(n-1)) Totient(3^4) = (3^4) -(3^(4-1)) Totient(3^4) = (3^4) -(3^(3)) Totient(3^4) = (81) -(27) Totient(3^4) = (81) -(27) = 54 Totient(3^4) = 54

[@aks1038]

Phi 1 should be 0 then??

[@hananyumna3270]

Adakah cara cepat untuk mencari phi function (n) ?

[@pradhyums6325]

What is phi of 25?

[@annapiamazzeo8414]

20

[@beautypaul5871]

💙💙💙

[@thecrew2algeria472]

👍👍

[@padmasisodiya8237]

🙏👍👍

[@mohammaddanish177]

Thanks a lot sir... But there is a humble request that when you are teaching a topic ... don't suggest a part it in other video.... Eg. GCD you better should explain it atleast once ....

[@fakecoder8865]

Dr arora

[@easymath484]

THATS NOT OILER ITS JUST EULER

[@41-siddharthabehera6]

It's pronounced that way only

[@monicabattacharya6416]

Please start teaching FULL STACK DEVELOPMENT COURSE. I am learning now 😌. if you start it now , it will be helpful for many students who are preparing for placements.

[@akhilrajkumar894]

In which mode you're learning? Online or Offline?

[@Karan_k1888]

Bullshit