$$f(n) = n^3 + 54n^2 - 2917n + 20021$$ ( 40 primes)

other ones that i found

• $f(n) = n^3 + 57n^2 - 2806n + 17159$ $\rightarrow$ 39 primes
• $f(n) = n^3 + 60n^2 - 2689n + 14411$ $\rightarrow$ 38 primes
• $f(n) = n^3 + 63n^2 - 2566n + 11783$ $\rightarrow$ 37 primes
• $f(n) = n^3 + 66n^2 - 2437n + 9281$ $\rightarrow$ 36 primes
• $f(n) = n^3 + 69n^2 - 2302n + 6911$ $\rightarrow$ 35 primes
• $f(n) = n^3 + 72n^2 - 2161n + 4679$ $\rightarrow$ 34 primes
• $f(n) = n^3 + 120n^2 - 2893n + 2131$ $\rightarrow$ 33 primes
• $f(n) = n^3 + 75n^2 - 2014n + 2591$ $\rightarrow$ 33 primes
• $f(n) = n^3 + 4n^2 - 1081n + 12289$ $\rightarrow$ 33 primes
• $f(n) = n^3 + 78n^2 - 1861n + 653$ $\rightarrow$ 32 primes
• $f(n) = n^3 + 7n^2 - 1070n + 11213$ $\rightarrow$ 32 primes
• $f(n) = n^3 + 125n^2 - 4412n + 27823$ $\rightarrow$ 31 primes
• $f(n) = n^3 + 54n^2 - 2329n + 20507$ $\rightarrow$ 31 primes
• $f(n) = n^3 + 10n^2 - 1053n + 10151$ $\rightarrow$ 31 primes
• $f(n) = n^3 - 20n^2 - 561n + 10223$ $\rightarrow$ 31 primes
• $f(n) = n^3 - 25n^2 - 292n + 4877$ $\rightarrow$ 31 primes
• $f(n) = n^3 + 128n^2 - 4159n + 23537$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 101n^2 - 3080n + 13537$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 71n^2 - 2690n + 14197$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 57n^2 - 2218n + 18233$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 20n^2 - 2099n + 23581$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 23n^2 - 1988n + 24223$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 45n^2 - 1936n + 7307$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 13n^2 - 1030n + 9109$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 17n^2 - 598n + 9643$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 22n^2 - 339n + 4561$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 28n^2 - 119n + 4219$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 37n^2 + 162n + 3517$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 62n^2 + 781n + 227$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 188n^2 + 2161n + 443$ $\rightarrow$ 30 primes

Hey everyone! We created a daily math grid game called QuizSum where you use arithmetic tiles to reach a daily target number. Speed Mode gives you 3 hidden paths to find against the clock, while Pro Mode offers dozens of unique solutions.

Today's Speed Target is 250. Give it a spin and let me know your fastest time!

🔗 
www.quizsum.com

Hey everyone! We created a daily math grid game called QuizSum where you use arithmetic tiles to reach a daily target number. Speed Mode gives you 3 hidden paths to find against the clock, while Pro Mode offers dozens of unique solutions.

Today's Speed Target is 250. Give it a spin and let me know your fastest time!

🔗 
www.quizsum.com

Each pair of numbers produces the number below it by the same hidden rule. Solve for the missing number from the pattern shown by the other pairs. 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? 👉 Rule Hunter: https://play.google.com/store/apps/details?id=com.makenumber

シグマの公式から秒でわかるけどなんかめっちゃ美しくね？

Is it just me or when you sum up integers and multiply it by twice the interval divided by the last number you'd get the next integer? For example 1+2+3+4=10. Multiply by 2 (which is twice its interval of 1) =20. Divide by 4 (the last integer) =5 (the next integer).

Thomas Bradwardine in the 14th century, and later deeply formalized by the famous astronomer and mathematician Johannes Kepler in the 17th century. The universal formula you interacted with—{Sum} = (n-2k) \\times 180—is a standard theorem taught

While the original proof is profoundly complex I tried to make it as easy as possible we start by forming a star shaped polygon of 'n' number of tips ( remember the star should contain sharp triangle rather than snow flake shaped star) we would than cutting those tips triangle all of them and now we have n number of triangles we would place those triangles in a rectangle which form n\*2 triangles. We would than let one angles tip be called x all of the tips are congruent to the measure of x because of interior alternate angles thus making the alternative tip of the one angle from each triangle be congruent

We know that sum of all angles in rectangle is 360..( 90°\*4)

Because the n number of triangle take exactly half area of triangle the sum of all tips would be degree of rectangle/2 which would be 180

Small not it doesn't matter whether n is odd or even because by this \*2 rule it would always be a even number

E+E=E

O+O= E

Hope this helped anyone

if we have a 4x4 grid of squares in which we can place letters of the English alphabet, one in each square then find the maximum number of possible 4 letter words formed if repeating letters is allowed. for example.

A F A T

B E S H

M R X E

G D F E

rule to follow: if you choose a letter tile for the starting letter of your word you must choose the tile adjacent to it ( diagonals count) for the second letter of your word and continue until u get a 4 letter word. for example, in the example above if you choose F as the first starting letter u must select any 5 of the tiles surrounding it as the next letter of your 4 letter word. by choosing F then A then T and then S , you get FATS so like this you must form 4 letter words and have to find the maximum number of 4 letter words possible if repeating letters is allowed( as shown, A is repeated in example and so is E)

Hey r/CasualMath!

I’ve been creating a daily browser puzzle called **QuizSum** — it’s a multi-solution mental math challenge inspired by Countdown and Wordle.

🎯 **The Goal:**
Combine grid numbers using +, −, ×, and ÷ to land exactly on the Target Number.

⚡ **Speed Mode:** Find 3 distinct valid equations against a stopwatch.
🏆 **Pro Mode:** Find ALL hidden arithmetic paths in the grid.

It’s 100% free, runs right in your browser with no sign-up or app download, and has automated path checking.

Give today's puzzle a try at **www.quizsum.com\*\* — would love to hear your thoughts or see what paths you find!

Every input should output a single value, so how does ts work?

Has anyone ran 1+1 through lean 4?

Each fruit symbol stands for a fixed number. Solve for the missing sum from the pattern shown by the other equations. 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? 👉 Rule Hunter: https://play.google.com/store/apps/details?id=com.makenumber

Each pair of numbers produces the number below it by the same hidden rule. Solve for the missing number from the pattern shown by the other pairs. Game: Rule Hunter — https://play.google.com/store/apps/details?id=com.makenumber