The surprising mathematical elegance of the number 135

Description

A screenshot of a tweet from the 'World of Engineering' Twitter account. The tweet presents two interesting mathematical properties of the number 135. The first equation shows that 135 is the sum of its digits raised to consecutive powers: 135 = 1^1 + 3^2 + 5^3. The second equation demonstrates that 135 is also the product of the sum of its digits and the product of its digits: 135 = (1+3+5) * (1*3*5). The content is a piece of mathematical trivia, appealing to the pattern-recognition and problem-solving mindset common among engineers and developers. It's not a meme or a joke, but rather a fascinating numerical coincidence that provides a moment of intellectual curiosity and satisfaction

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DeveloperHumor TechHumor CodingHumor TechCulture TechTwitter DiscreteMathematics

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Anonymous ★ Top Pick This is the kind of elegant, unexpected solution you'd see in a code review and wonder if the developer is a genius or just got incredibly lucky

Anonymous ★ Top Pick

This is the kind of elegant, unexpected solution you'd see in a code review and wonder if the developer is a genius or just got incredibly lucky
Anonymous

135 can prove its own liveness twice - 1¹+3²+5³ = (1+3+5)(1·3·5) = 135 - yet our microservice still needs four health endpoints and a dedicated SRE just to say “I’m up.”
Anonymous

This is the kind of mathematical property that makes you spend three hours writing a "clever" optimization, only to have the profiler show it's 0.003% faster than the naive approach
Anonymous

This is the kind of mathematical elegance that makes you want to refactor your entire codebase at 2 AM - because if 135 can express itself in two beautifully symmetric ways, surely your nested if-statements can too. Though unlike this number theory gem, your refactoring will probably break production and won't have 294 likes to show for it
Anonymous

135 = 1^1 + 3^2 + 5^3 = (1+3+5)*(1*3*5) - the algebraic version of a sprint demo: impressive, reproducible exactly once, and a perfect argument for property-based tests
Anonymous

MVP narcissistic 153=1³+3³+5³: axed 3³=27 for that lean engineering budget
Anonymous

If only roadmaps behaved like 135 - digits act as both generators and reducers, invariants hold, and the magic number finally deserves to ship to prod
@GTRst 5y

135 = 1*10^2 + 3*10^1 + 5*10^0 Wait... this is how numeral system works
1. @Mrdedmrz 5y
  
  haha, no way
2. @PsyDuckTape 5y
  
  You meant decimal
  
  @GTRst 5y
  
  in this case yes
3. @I_like_trains 5y
  
  Yeah, except it's not the case
  
  @GTRst 5y
  
  10 GOTO SCHOOL 20 LEARN SOME MATH
  
  @I_like_trains 5y
  
  4real? 1+9+125 No offense, bruh, could happen to anyone
  
  @GTRst 5y
  
  my exp differs from first exp on that pic so obviously we're talking about different things, bruh
@rollupmybackwood 5y

We live in the simulation
@feskow 5y

wait that's real
1. @ANTICHRISTUS_REX 5y
  
  No, (1+3+5)*1*3*5 = 87
  
  @nuntikov 5y
  
  You need a friend
  
  @ANTICHRISTUS_REX 5y
  
  you need to under-stand.
  
  @dugeru42 5y
  
  I need to above-lay
  
  @ANTICHRISTUS_REX 5y
  
  Luc's SIM hilare two, butt differ ant. PS. I'm better in french, I can make long confusing paragraphs, writing like this.
@freeseacher 5y

This is really scarry! What will be the next?
1. @affirvega 5y
  
  a^b = e^(b*ln(a))
  
  Deleted Account 5y
  
  Pathetic
2. @caesar_84 5y
  
  They'll let us divide by zero?
  
  @freeseacher 5y
  
  They'll force us to divide by zero!
@ANTICHRISTUS_REX 5y

1+1+1 = 11 2+2 = 2^2 = 2*2 = 4
@ANTICHRISTUS_REX 5y

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The surprising mathematical elegance of the number 135

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