General Formula of Prime Numbers

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  • เผยแพร่เมื่อ 26 ธ.ค. 2024

ความคิดเห็น • 26

  • @Porto5452
    @Porto5452 3 ชั่วโมงที่ผ่านมา

    There is already a symbol to represent the remainder operator, instead of writing R(a, b) just simply write a%b. Also using sieves is faster than using this formula and if you just want to know if a number is prime, there are plenty of quick methods of doing so that only depend on the logarithm of that prime instead of depending oon the size of the prime like the BPSW primality check.

  • @mrbutish
    @mrbutish 4 วันที่ผ่านมา +2

    Cool it's like CP Willians sequential prime number formula except with virtual numbers.

    • @mrbutish
      @mrbutish 4 วันที่ผ่านมา

      Today I learnt that X/log(X) gives the number of primes below X. Crazy!!!!

    • @GottfriedLeibniz5
      @GottfriedLeibniz5 วันที่ผ่านมา

      Dude This Channel Is A Fking Joke ​@@mrbutish

  • @joonasmakinen4807
    @joonasmakinen4807 4 วันที่ผ่านมา +2

    It is not first ever formula for prime numbers. There exists others, but they are so inefficient that it is faster to compute them directly.

  • @martinhrdina8229
    @martinhrdina8229 4 วันที่ผ่านมา +4

    Thank fo you work, ihave been working on this concept a half year ago. I did not want to put it into world. If you put into world already, lets do it complex as it is without virtual numbers but with redefine "e" as it is in reality. You can mail mail me.

    • @log_menus_1
      @log_menus_1  4 วันที่ผ่านมา +1

      Are u talking about primes formula or virtual numbers?

  • @skg1729
    @skg1729 4 วันที่ผ่านมา

    I've applied the same concept in creating a prime sequence. This method is straightforward because it involves keeping track of the prime count. The principle used here is p ∣ (n, k) for all k except 1 and n. However, finding the n-th prime using this approach requires the prime counting function π(x), which provides an approximation of the number of primes less than or equal to x using x/ln(x), rather than the exact value. Consequently, we cannot determine with certainty the exact value of n for which a specific prime is found.

    • @log_menus_1
      @log_menus_1  4 วันที่ผ่านมา

      I also tried using the method p | (m, floor(m/2) menus 1), but it may not work for all cases. I'm currently working on an alternative method to find all prime

  • @joonasmakinen4807
    @joonasmakinen4807 4 วันที่ผ่านมา

    At 6:15 it is said none of m=9 elements are divisible by 9, even though first two elements are.

    • @log_menus_1
      @log_menus_1  4 วันที่ผ่านมา

      Must divide set S9 , all elements

    • @joonasmakinen4807
      @joonasmakinen4807 4 วันที่ผ่านมา

      Then a language barrier? Correct way is to say the whole set is not divisible by 9.

    • @log_menus_1
      @log_menus_1  4 วันที่ผ่านมา

      yes , 9 must divide all elements of S9 as R(S9,9) must be 0

  • @iqbalmazumder3612
    @iqbalmazumder3612 2 วันที่ผ่านมา +1

    Can you solve 1/x = 0 Please make a video if it is possible.

    • @log_menus_1
      @log_menus_1  2 วันที่ผ่านมา +1

      Take ln on both sides ,
      -lnx = ln0
      -Lnx = e^j * zeta(1)
      Lnx = zeta(1)
      X = e^zeta(1)

    • @iqbalmazumder3612
      @iqbalmazumder3612 2 วันที่ผ่านมา

      @@log_menus_1 Thank you ❤️

  • @Astronomy487
    @Astronomy487 5 วันที่ผ่านมา +1

    A general formula for P would take a number n and find m such that P(n)=m. What your formula does is take a number m and find n such that P(n)=m, and your formula does this by defining n=π(m). All this video shows is that P is the inverse function of π if and only if its argument is prime :/ That's not a technique for computing P for any input

    • @log_menus_1
      @log_menus_1  5 วันที่ผ่านมา

      We can also find the nth prime. For example, if π(m) = 100, this represents the 100th prime. By using the π formula, we can determine the value of m and then proceed with the calculation.

    • @Astronomy487
      @Astronomy487 5 วันที่ผ่านมา

      @ That's not at all what it means to have a general formula!! If you want to compute P(100000), you need to first know the smallest m such that π(m)=100000, and that m is the output of P. Looking through the π function for such a value is not an "efficient technique" for calculting P, you are offloading the work of finding primes onto your π function.

    • @log_menus_1
      @log_menus_1  5 วันที่ผ่านมา

      We can find m using pi function

    • @Astronomy487
      @Astronomy487 5 วันที่ผ่านมา

      @@log_menus_1 Looking through the π function for such a value is not an "efficient technique" for calculting P, you are offloading the work of finding primes onto your π function.

    • @log_menus_1
      @log_menus_1  5 วันที่ผ่านมา +1

      We can find all the primes using formula.. I will make it better in future videos

  • @sudhamishra6596
    @sudhamishra6596 3 วันที่ผ่านมา

    "The Hindu religion is the only one of
    the world's great faiths dedicated to
    the idea that the Cosmos itself
    undergoes an immense, indeed an
    infinite, number of deaths and
    rebirths. It is the only religion in which
    the time scales correspond to those of
    modern scientific cosmology. Its
    cycles run from our ordinary day and
    night to a day and night of Brahma,
    8.64 billion years long. Longer than
    the age of the Earth or the Sun and
    about half the time since the Big
    Bang."
    “Most cultures imagine the world to be a few hundred human generations old. Hardly anyone guessed that the cosmos might be far older but the ancient Hindus did,”
    "It is the only religion in which the time scales correspond, to those of modern scientific cosmology"
    ~ CARL SAGAN (famous astronomer, cosmologist)

  • @joonasmakinen4807
    @joonasmakinen4807 4 วันที่ผ่านมา

    This video is incomplete. The general formula presented (a) is not proven, and (b) if true, then still needs (at worst) floor(m/2) divisions against the set to verify if m is prime. [Remember that formation of set needs lots of computation!] If true, then this can beat the simple division test of m that always needs floor(m/2) divisions.

    • @log_menus_1
      @log_menus_1  4 วันที่ผ่านมา

      Yes, it's not perfect, but it works well. In my next video, I will create a formula for primes using a different method.