Group Abstract Group Abstract

Message Boards Message Boards

Make 2023 with math: PowerMod[7, 7, 7!] = 2023. Your turn!

Ed Pegg, Wolfram Research
Posted 3 years ago

What is your one-liner for getting 2023? Comment below!

enter image description here

Attachments:
DOWNLOAD-DESKTOP...nb
POSTED BY: Ed Pegg
13 Replies
Sort By:

[ (2023)^2 - 2023 ] / [6* (2023)] = 337

New year : 337 (6) + 1 = 2023 or [337 (7)* (2023)] / 2023] - 338 = 2023

Last year : 337 (6) = 2022 or 337(7) - 337 = 2022

Moving along : 337 + 1 = 338

Finding the next primes using the formula above :

[ [2023 * ( 338)* (7) - 2023] / 2023] - 338 = 2027 is prime

[ [2023 ( 338) (7) + 2023] / 2023] - 338 = 2029 is prime

[(2029+338) 2023 - 2023 / (2366)] = 2023

[(2027+338) 2023 -+2023 / (2366)] = 2023

2023 within a solution using the next twin primes

POSTED BY: Richard Andrews
Paul Cleary
Paul Cleary
Posted 3 years ago

If we allow concatenation.

1*2*3*456+7-8*9*10
1+2*34*5*6-7+8-9-10
1/2*345*6+78+910
12+3/4*5*67*8-9+10
12/34*5678+9+10
12+345*6-78+9+10
10-9*8-76+5*432+1
10-9*87+65*43+2-1
10*98-7*6+543*2-1
10*987/6+54/3*21
POSTED BY: Paul Cleary
Tianyi Hu
Tianyi Hu
Posted 3 years ago

From a Tweet by Srinivasa Raghava (he also shared a number of other interesting results of 2023):

https://twitter.com/SrinivasR1729/status/1609257145798889472

enter image description here
POSTED BY: Tianyi Hu

Looks like we got another interesting postcard post by Fermat's Library on LinkedIn:

https://www.linkedin.com/feed/update/urn:li:activity:7014999420580597760

enter image description here

which is in Wolfram:

In[]:= (10+(9+8*7)*6)*5+4*3*2-1
Out[]= 2023

I wonder is it easy to find such combination? How many numbers we can get out of specific range using a specific set of operations? And how many combinations we have for a single number on average?
POSTED BY: Vitaliy Kaurov

Not a formal per se but 2023 is a multiple of 7 whose digits also add to 7. In other words 2023 is the numbers congruent to 7 mod 63.

POSTED BY: Salvatore Mangano

$3^2+7^2+11^2+15^2+19^2+23^2+27^2 = 2023$
POSTED BY: Francisco Javier García Capitán

I prefer to look forward to what 2023 might bring to us! 2023 is a very interesting 3-color totalistic cellular automaton:

ArrayPlot[CellularAutomaton[{2023,{3,1}},{{1},0},500],ColorRules->{0->White,1->Gray,2->Red}]
POSTED BY: Keith Stendall

There are some good answers in comments on Reddit Math: https://wolfr.am/1a2XCVsb0

Also there is this link with the properties: https://www.numbersaplenty.com/2023

POSTED BY: Vitaliy Kaurov

With this: https://www.wolframalpha.com/input?i=prime+factorization+of+2023 I thought it would be interesting to see what could be one in base 7 to get to 2023.

https://www.wolframalpha.com/input?i=decimal+form+of+7*23_7%5E2

Or in WL: 7 7^^23^2
POSTED BY: Dorothy Evans

Going into algebraic number theory

-NumberFieldDiscriminant[x /. Solve[x^3 == x^2 + 6 x + 5][[1]]]
POSTED BY: Ed Pegg

= (11/x+1 )^-1 which = 184

184 * 11 - 1 = 2023

POSTED BY: Richard Andrews
POSTED BY: Vitaliy Kaurov

A few more 

LinearRecurrence[{3, -3, 1}, {7, 34, 79}, 15] // Last 
LinearRecurrence[{0, 1, 1, 2}, {0, 2, 3, 10}, 17] // Last 
LinearRecurrence[{4, 0, -5, -2}, {0, 2, 10, 41}, 7] // Last  
N[FromContinuedFraction[Flatten[{44, Table[{1, 43, 1, 88}, 5]}]]^2, 40]
POSTED BY: Ed Pegg
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard