Spyke
fedia.io

So you're saying there is one? Because the line that's replaced here is Tighten saying "There's no Queen of England" with the point of the scene being showing he's dumb for thinking something that does exist is like the other mythological things listed

29
daniyegreply
lemmy.ml

there's no Queen of England though, Titan was just ahead of his time.

33
Soupreply
lemmy.world

I’ve only seen the memes.

I thought that character was a she.

Huh.

5
lemmy.dbzer0.com

31521281 = 11 × 17 × 59 × 2857

11 × 17 = 187

11 × 59 = 649

11 × 2857 = 31427

17 × 59 = 10003

17 × 2857 = 48569

59 × 2857 = 168563

17 × 59 × 2857 = 2865571

11 × 59 × 2857 = 1854193

11 × 17 × 2857 = 534259

11 × 17 × 59 = 11033

11+17+59+2857+11033+534259+1854193+2865571+168563+ 48569+10003+31427+649+187=5527398≠31521281

9

17 × 59 = 10003

you've got an extra zero in there, and you forgot the 1, but the rest of your divisors match my crude brute-force approach:

>>> n=31521281
>>> d = [ x for x in range(1,n//2+1) if not n%x ]
>>> d
[1, 11, 17, 59, 187, 649, 1003, 2857, 11033, 31427, 48569, 168563, 534259, 1854193, 2865571]
>>> yours=list(map(int,"11+17+59+2857+11033+534259+1854193+2865571+168563+48569+10003+31427+649+187".split("+")))
>>> set(yours) - set(d)
{10003}
>>> set(d) - set(yours)
{1, 1003}
>>> sum(d)
5518399

same conclusion though: 5518399 also ≠ 31521281

::: spoiler bonus nonsense

>>> isperfect = lambda n: n == sum(x for x in range(1,n//2+1) if not n%x)
>>> [n for n in range(1, 10000) if isperfect(n)]
[6, 28, 496, 8128]

(from https://oeis.org/A000396 i see the next perfect number after 8128 is 33550336 which is too big for me to wait for the naive approach above to test...) ::: spoiler more bonus nonsense

>>> divisors_if_perfect = lambda n: n == sum(d:=[x for x in range(1,n//2+1) if not n%x]) and d
>>> print("\n".join(f"{n:>5} == sum{tuple(d)}" for n in range(10000) if (d:=divisors_if_perfect(n))))
    6 == sum(1, 2, 3)
   28 == sum(1, 2, 4, 7, 14)
  496 == sum(1, 2, 4, 8, 16, 31, 62, 124, 248)
 8128 == sum(1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064)

:::

6

In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.

https://en.wikipedia.org/wiki/Perfect_number

15

I have a proof, but this comment box is too small to contain it.

6

On the one hand, sure.

On the other hand, a lot of significant things in math and science came about because someone noticed and then studied a neat coincidence.

2

Maybe it's just a nomenclature thing for me. Calling it a perfect number makes me think of the dudes in Pi.

1

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