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

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 multilply 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 multilply 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