The Four 4s – Numberphile | ความรู้ทั่วไปทางธุรกิจ – Marketingtangtruong.com

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The Four 4s - Numberphile
The Four 4s – Numberphile

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ควรอ่านเนื้อหาที่เกี่ยวข้องกับหัวข้อ44448.

It was a famous problem for many years – until a physics genius solved it all the way to infinity.
Featuring author Alex Bellos – more links below.

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การค้นหาที่เกี่ยวข้องกับหัวข้อThe Four 4s – Numberphile.

44448

numberphile,four,four 4s,paul dirac,alex bellos,puzzle

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40 thoughts on “The Four 4s – Numberphile | ความรู้ทั่วไปทางธุรกิจ – Marketingtangtruong.com”

  1. Any operator that involves another number, like logarithms or the decimal point (which is just division by 10), feels like cheating. If you can add all sorts of numbers that way, then this was never about four fours to begin with.

    Reply
  2. Well, here’s what I found

    0 = (4/4)-(4/4)
    1 = (4/4)×(4/4)
    2 = (4/4)+(4/4)
    3 = (4-(√4))+(4/4)
    4 = (4+4)/(4-(√4))
    5 = (√4)+(√4)-(4/4)
    6 = ((4/4)×4)+(√4)
    7 = (4+4)-(4/4)
    8 = (4*(√4))*(4/4)
    9 = (4+4)+4/4
    10 = 4+4+4-(√4)
    11 = (4!)-(√4)/(4-(√4))
    12 = (4*4)-((√4)+(√4))
    13 = (4*4)-(4-(4/4))
    14 = (4*4)-(4-(√4))
    15 = (4*4)-(4/4)
    16 = (4*4)+(4-4)
    17 = (4*4)+(4/4)
    18 = (4*4)+(4-(√4))
    19 = (4*4)+(4-(4/4))
    20 = (4*4)+((√4)+(√4))
    21 = 4!-(4-(4/4))
    22 = 4!-(4/(4-(√4)))
    23 = (4!-(4-(√4)/(√4))
    24 = 4!+(4-(√4)+(√4))
    25 = 4!+(((√4)+(√4))/4)
    26 = (44/(√4))+4
    27 = 4!+(4-(4/4))
    28 = 4!+(4+4-4)
    29 = 4!+(4+(4/4))
    30 = (4^4/4)/√4
    31 = (4!+!4)-(4/(√4))
    32 = (4!+!4)-(4/4)
    33 = (4!+!4)+(4-4)
    34 = (4!+!4)+(4/4)
    35 = (4!+!4)+(4/(√4))
    36 = (4*(!4))+4-4
    37 = (4*(!4))+(4/4)
    38 = (4*(!4))+(4-(√4))
    39 = (4*(!4))+(4-(round(coth(4)))
    40 = (44-(4))*round(coth(4))
    41 = (44-(4-(round(coth(4)))
    42 = (44-(4-(√4)))
    43 = (44-(4/4))
    44 = 44+(4-4)
    45 = 44+(4/4)
    46 = 44+(4-(√4))
    47 = 44+(4-((round(coth(4)))
    48 = 44+((√4)+(√4))
    49 = (44+4)+((round(coth(4)))
    50 = 44+((4!)/4)

    More coming soon

    Reply
  3. I kinda don't understand why he said you can get to 10 with only + – / and *. When… 4 * 4 * 4 * 4 = 256. So you can get all the way up to 256 with only + – / and *

    Reply
  4. He says you can get to 10 using only +,-,X & /, and there's a video of solutions that stops at 9. I spent a while trying to solve 10 using only the basic 4, and couldn't figure it out, and then I searched online and no one else has a solution listed that doesn't involve more advanced operations. Is he wrong?

    Reply
  5. • The Game of four 4's
    – Level 1: +, -, ×, ÷, (),

    4 – 4 + 4 – 4 = 0
    (4/4) – (4 – 4) = 1
    4 – (4 + 4) ÷ 4 = 2
    (4 × 4 – 4) ÷ 4 = 3
    4 + 4 × (4 – 4) = 4
    (4 × 4 + 4) ÷ 4 = 5
    (4 + 4) ÷ 4 + 4 = 6
    4 + 4 – (4 ÷ 4) = 7
    4 ÷ 4 × 4 + 4 = 8
    4 ÷ 4 + 4 + 4 = 9

    Reply
  6. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⢛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠐⠄⠄⠄⠄⠠⠄⠄⢀⣀⡈⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⡀⠴⢒⡒⠂⠄⢀⡀⢐⡀⡀⠄⠄⢀⠙⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⡡⠪⠶⢿⡭⡉⠄⢀⢣⣖⣶⣬⡱⣄⠄⠄⠄⠸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡁⣔⣎⠓⠂⡀⠑⠖⣒⠭⠻⠿⠿⠷⠙⣎⠉⠉⠄⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢧⢱⣿⣔⣀⠊⠐⢼⣿⣶⣠⠄⠐⡐⠶⡂⣿⣀⡀⠄⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣟⠂⣿⣿⣷⣶⣟⣴⣾⣿⣧⣐⣤⣤⣭⣿⠇⡇⠄⠄⠄⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢹⠄⣿⣿⣿⣿⡌⠿⣛⣿⣿⣿⣿⣿⣿⢫⡞⡇⠄⠄⢰⣿⣿⣿ ⣿⣿⣿⣿⡿⣫⠞⢀⣿⣿⣿⣥⣤⣌⠙⣿⣿⣿⣿⡟⣽⣿⠁⡇⠒⢒⣾⣿⣿⣿ ⣿⣿⣿⣯⣾⠋⠄⠘⣿⣿⣿⣶⣶⣭⣿⣿⣿⣿⣿⣾⡿⠃⣴⡇⠄⣼⣿⣿⣿⣿ ⡛⡿⣿⣿⣷⣇⠄⠄⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠄⣼⡇⣼⣿⣿⣿⣿⣿ ⠉⠐⣥⡙⠛⠿⠇⢸⠰⠄⠄⠄⠹⠟⠛⠋⢉⣀⢩⢴⠄⢰⣿⣧⢿⣿⣿⣿⣿⣿ ⠄⠄⠄⢱⡀⠄⠄⠇⡰⠄⡐⠄⠰⠰⢿⠃⠈⠉⢠⠄⠄⠻⠿⢾⣿⣿⣿⣿⣿⣿ ⡤⡴⠶⠚⠋⠻⣆⠄⠁⣠⠡⠐⠁⠄⠄⠄⠄⠄⠁⠄⠠⣦⠄⠄⠄⠄⠄⠲⠎⠉

    Reply
  7. 4!^4!^4!^4! and windows' calculator will say "overflow", first thing I got in mind on first 3 mins and it turned out to be inifity
    … or atleast close to it, kinda like Googleplex, it bugs out calculators

    Reply

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