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137
ve 317 ve 713 ve...
sürekli gördüğüm bu sayı hakkında topladığım bilgiler
·#idk

saatlerde, tarihlerde, sayı olan her yerde sürekli gördüğüm bu sayı hakkında ilginç bulduğum bilgileri burada toplayacağım

binary, base-2, f(x) = (2^x) - 1

for x = 1, 2, 3, 4, 5...
f(x) = {1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047, 4095, 8191,...}

so

f(1) =  1 in binary is 1
f(2) =  3 in binary is 11
f(3) =  7 in binary is 111
f(4) = 15 in binary is 1111
f(5) = 31 in binary is 11111
f(6) = 63 in binary is 111111
...
f(x) is x-many 1's in binary
§

also 137 in binary is 10001001 so it's
2 to the 0th,
2 to the 3rd and
2 to the 7th

and 73 in binary is 1001001 so it's
2 to the 0th,
2 to the 3rd and
2 to the 6th, nothing special i guess

357686312646216567629137

is the largest proven left truncatable prime number
which means;

  • 357686312646216567629137 is a prime
  • 57686312646216567629137 is a prime
  • 7686312646216567629137 is a prime
  • 686312646216567629137 is a prime
  • 86312646216567629137 is a prime
  • 6312646216567629137 is a prime
  • 312646216567629137 is a prime
  • 12646216567629137 is a prime
  • 2646216567629137 is a prime
  • 646216567629137 is a prime
  • 46216567629137 is a prime
  • 6216567629137 is a prime
  • 216567629137 is a prime
  • 16567629137 is a prime
  • 6567629137 is a prime
  • 567629137 is a prime
  • 67629137 is a prime
  • 7629137 is a prime
  • 629137 is a prime
  • 29137 is a prime
  • 9137 is a prime
  • 137 is a prime
  • 37 is a prime
  • 7 is a prime

137, 37 and 73

  • 137 is the 33rd prime
  • 37 is the 12th prime
  • 73 is the 21st prime
§
  • 37 is the reverse of 73
  • 12 is the reverse of 21
  • and 21 + 12 = 33

also both 37, 73 and 137 are pythogorean primes
since they fit the formula 4n+1 or

4 *  9 + 1 =  37
4 * 18 + 1 =  73
4 * 34 + 1 = 137

which means it can be written as sum of two squares, thus

 6^2 + 1^2 =  36 +  1 =  37
 8^2 + 3^2 =  64 +  9 =  73
11^2 + 4^2 = 121 + 16 = 137

the fine-structure constant (ɑ = ~ 1/137)

i'm lazy look it up.
look up the carl jung and pauli stuff as well.
and maybe kabbala and gematria too while you're at it.

1/137 and 1/73

1/137 is 0.0072992700729927...
where 00729927 is the repeating sequence
notice how if we multiply it by 10000,
it is 72.9927 which is almost 73

§

1/73 is 0.01369863013...
where 01369863 is the repeating sequence
notice how if we multiply it by 10000,
it is 136.9863 which is almost 137

137 * 73 = 10001

which is nice because if take any 4 digit number
like 1234 and multiply it by 137 * 73 or 10001
it will give you 12341234

email me

if you have more of this stuff,
you can email me at ivmelenen@gmail.com