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Sat Sep 7, 2019, 05:47 PM

Fun math geek question:

What is unique about the number 26?

And no, not the mystic/psychic 26 stuff.

22 replies, 843 views

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Arrow 22 replies Author Time Post
Reply Fun math geek question: (Original post)
Disaffected Sep 2019 OP
tblue37 Sep 2019 #1
Disaffected Sep 2019 #2
tblue37 Sep 2019 #3
Disaffected Sep 2019 #4
unblock Sep 2019 #5
Disaffected Sep 2019 #9
Brother Buzz Sep 2019 #6
NightWatcher Sep 2019 #7
TreasonousBastard Sep 2019 #11
Disaffected Sep 2019 #13
TreasonousBastard Sep 2019 #14
Disaffected Sep 2019 #12
Cirque du So-What Sep 2019 #8
Ptah Sep 2019 #10
Disaffected Sep 2019 #15
Ptah Sep 2019 #16
PJMcK Sep 2019 #17
Major Nikon Sep 2019 #18
NNadir Sep 2019 #19
Disaffected Sep 2019 #20
NNadir Sep 2019 #21
Disaffected Sep 2019 #22

Response to Disaffected (Original post)

Sat Sep 7, 2019, 05:54 PM

1. I looked it up, but I won't give out spoilers. nt

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Response to tblue37 (Reply #1)

Sat Sep 7, 2019, 05:55 PM

2. Yeah,

no fair Googling.

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Response to Disaffected (Reply #2)

Sat Sep 7, 2019, 05:57 PM

3. I couldn't have played on this field anyway, but my curiosity is insatiable, so I just HAD to

know the answer, and my patience is limited, so I had to know it right away.

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Response to tblue37 (Reply #3)

Sat Sep 7, 2019, 06:04 PM

4. That's quite all right as it a bit of an unfair question:

i.e. if you don't already know the answer or can't look it up, the odds of coming up with the answer independently are pretty low for virtually anyone, even a mathematician, I would guess.

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Response to Disaffected (Original post)

Sat Sep 7, 2019, 06:14 PM

5. Underdefined problem

26 is uniquely the largest integer less than 27

It's also uniquely the smallest integral multiple of 13 greater than 13.

But that's probably not what you had in mind....

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Response to unblock (Reply #5)

Sat Sep 7, 2019, 06:28 PM

9. No,

it's something a little neater than that.

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Response to Disaffected (Original post)

Sat Sep 7, 2019, 06:22 PM

6. Total points in a hand of hearts?

I ain't got nothing.

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Response to Disaffected (Original post)

Sat Sep 7, 2019, 06:24 PM

7. It's the only whole number between 25 and 27?

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Response to NightWatcher (Reply #7)

Sat Sep 7, 2019, 06:29 PM

11. That's close to one answer...

26 is the only number between a square number and a cube number.

But that's probably not the expected answer.

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Response to TreasonousBastard (Reply #11)

Sat Sep 7, 2019, 06:32 PM

13. Yes,

that's it!

Now, for extra points, prove it.

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Response to Disaffected (Reply #13)

Sat Sep 7, 2019, 06:35 PM

14. You wanted that one? I thought you were going for the Rubiks Cube...

but I can't prove either one.

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Response to NightWatcher (Reply #7)

Sat Sep 7, 2019, 06:29 PM

12. Heh,

there is that about it alright.

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Response to Disaffected (Original post)

Sat Sep 7, 2019, 06:28 PM

8. I know the answer

but I am a math geek and want to give others a chance. Suffice to say, it's unique among integers.

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Response to Disaffected (Original post)

Sat Sep 7, 2019, 06:28 PM

10. BDR 529

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Response to Ptah (Reply #10)

Sat Sep 7, 2019, 06:35 PM

15. ??

Black Diamond Riders motorcycle club of Toronto, Canada at 529 Jarvis Street?

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Response to Disaffected (Reply #15)

Sat Sep 7, 2019, 06:38 PM

16. No, it has to do with Illinois Nazis

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Response to Disaffected (Original post)

Sun Sep 8, 2019, 07:42 AM

17. How did you know...

...my age when I married wife no. 1?

Big mistake on my part.

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Response to Disaffected (Original post)

Sun Sep 8, 2019, 08:31 AM

18. It's the only number that follows 25 and is before 27

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Response to Disaffected (Original post)

Sun Sep 8, 2019, 09:10 AM

19. It's the first even product of a two digit Fibonacci number; it is the second two digit...

...number to have a sum of digits that is a perfect cube: the second even number to factor into a two digit prime number; it is the first number to come between a perfect square and a perfect cube...

Are any (or all) of these "right?"

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Response to NNadir (Reply #19)

Sun Sep 8, 2019, 10:36 AM

20. Not sure about the first ones but

26 is the only number to come between a square and a cube.

It's the only that I find particularly intriguing.

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Response to Disaffected (Reply #20)

Sun Sep 8, 2019, 10:39 AM

21. It seems intuitively reasonable, but I'm not sure there proof that it is the ONLY such number.

There probably is such a proof, but if so, I'm unaware of it.

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