What is the significance of the number 2023?

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The discussion centers around the mathematical creativity associated with the year 2023, sparked by the cool new avatar of @fresh_42. Participants engage in playful mathematical explorations, showcasing various ways to express the number 2023 through equations and factorizations. They highlight the contributions of the American Mathematical Society (AMS) and speculate on the humorous possibilities if mathematicians were to create calendars. The conversation also touches on the upcoming year 2024, with members sharing their own methods for manipulating numbers, including a Python program for generating specific results from birthday digits. The thread emphasizes the enjoyment of mathematical puzzles and the connections between numbers, with participants eagerly anticipating future discussions about 2025 and 2026.
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The new avatar of @fresh_42 is so cool, it deserves its own thread.
$$
\begin{gathered}
(2+0+2+3) \\
\cdot \\
(2^2+0^2+2^2+3^2)^2 \\
= \\
2023
\end{gathered}
$$
Who the heck finds these things?

I don't care about PF rules, I'm calling it: New conspiracy theory ahead! :oldeek:
 
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The AMS was founded in 1888 to promote mathematical education and research and has approximately 28,000 individuals and 550 institutions as members.

If every hundredth of them tried to find a funny way to write the new year, then there are about 300 mathematicians playing with 2023. I guess the likelihood of finding it is almost certain. Here are more:
https://math.stackexchange.com/questions/4608782/interesting-ways-to-write-2023
 
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##2023=[A000796]_{10415-10418}##
 
I'm sure glad the AMS doesn't make calendars.
 
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452 is coming soon!
 
  • #10
jack action said:
Who the heck finds these things?
Whenever you see a number you must factorise it! ##2023 = 7 \times 17^2##

You could beat them to it for next year. ##2024 = 2^3 \times 11 \times 23## What can you do with that?
 
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  • #11
Several years ago I wrote a Python program that took all the digits of a birthday date and by some combination of random operations and brute force looked for a way of calculating 666 out from them (not changing the order, using any standard arithmetic operations and parentheses). It wasn't too elaborate but it did the trick.
 
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  • #12
Ivan Seeking said:
Only mathematicians could figure out the date!
I once had a calendar like that. I used an old calendar and corrected it with an offset. My girlfriend didn't like that.
 
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  • #13
PeroK said:
Whenever you see a number you must factorise it! ##2023 = 7 \times 17^2##

You could beat them to it for next year. ##2024 = 2^3 \times 11 \times 23## What can you do with that?
I really don't have the patience to do this kind of stuff. I will still continue to admire other's people work!
 
  • #14
Borek said:
Several years ago I wrote a Python program that took all the digits of a birthday date and by some combination of random operations and brute force looked for a way of calculating 666
I see! Is this a number you spend a lot of time thinking about?

Do you often smell burning sulfur?
 
  • #15
Borek said:
Several years ago I wrote a Python program that took all the digits of a birthday date and by some combination of random operations and brute force looked for a way of calculating 666 out from them (not changing the order, using any standard arithmetic operations and parentheses). It wasn't too elaborate but it did the trick.

I’d really like to know how you did that!
(I guess the devil is in the details.)
 
  • #16
robphy said:
I’d really like to know how you did that!
(I guess the devil is in the details.)
The code is lost in time, but it was based on the eval() function, which takes any expression (in a string form) and calculates its value. Initially I was just plugging +-*/ between digits, later I did some tricks with parentheses as well. The only surviving example I could quickly find is from the earlier version:

10.9.1974 -> 10-9-1+9*74=666
 
  • #17
robphy said:
I’d really like to know how you did that!
(I guess the devil is in the details.)
By the way, this was a pun.:wink:
 
  • #18
If Mathematicians and Astrologers learned how to read the Mayan Calendar, some might be able to understand how they plotted the alias frequency and phase alignment of planetary cycles which affects Solar Flare cycles from 11 up to 10k yrs or more .

##10^3+ 2^{10} - 10^0= 2023## ( brainfart corrected)
 
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  • #19
Here we go again for ##2025##:
$$(20+25)^2$$
$$(1+2+3+4+5+6+7+8+9)^2$$
$$1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3$$
 
  • #20
jack action said:
Here we go again for ##2025##:
$$(20+25)^2$$
$$(1+2+3+4+5+6+7+8+9)^2$$
$$1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3$$
Not to forget ##2025 = 3^4\cdot 5^2##? Can you see the hint? The hidden answer to life, everything, and all the rest?
 
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  • #21
jack action said:
Here we go again for ##2025##:
$$(20+25)^2$$
$$(1+2+3+4+5+6+7+8+9)^2$$
$$1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3$$
Got you covered for 2026 :oldbiggrin: :
$$2026=1^2+(1+2+3+4+5+6+7+8+9)^2$$
$$=1^3+1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3$$
 

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