General Cubic (n=3) Bookend Prime Polynomial Completely Factored via G-filtered Polycules

$(1)$ The following brilliant.org problem "Prime Cubic Root" is actually the degree 3 bookend prime with narrative $f(1)=1+d$ which is equivalent to $c=1-a-b$ : https://brilliant.org/problems/prime-cubic-root-2/ $(2)$ The following brilliant.org problem ends with my degree 3 bookend prime with gambling narrative: https://brilliant.org/problems/attention-all-gamblers-your-cubic-awaits/?ref_id=1268620![] [G-filtered Polycules](https://www.facebook.com/groups/factorthis/)

#Algebra

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

what if we let the product of primes be represented by the product of prime polynomials ??? Then the expansion of said polynomials may be very interesting toward some insight into primes...

Frank Giordano - 4 years, 8 months ago

get the latest version of "G-filtered Polycules" here: https://www.facebook.com/groups/factorthis/

Frank Giordano - 4 years, 7 months ago

this facebook video explains the Game of G-filtered Polycules for Cubics; leave a comment.

Frank Giordano - 3 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$