r/CasualMath • u/Legitimate_Panda6992 • 11h ago
Found a Monic Cubic Polynomial with 40 Consecutive Prime Values ($L=40$) via Algorithmic Search.
$$f(n) = n^3 + 54n^2 - 2917n + 20021$$ ( 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