Posted on 10/29/2019 4:00:01 PM PDT by BenLurkin
"Twin primes" are primes that are two steps apart from each other on that line: 3 and 5, 5 and 7, 29 and 31, 137 and 139, and so on. The twin prime conjecture states that there are infinitely many twin primes, and that you'll keep encountering them no matter how far down the number line you go. It also states that there are infinitely many twin primes, and that you'll keep encountering them no matter how far down the number line you go. It also states that there are infinitely many prime pairs with every other possible gap between them (prime pairs that are four steps apart, eight steps apart, 200,000 steps apart, etc.). Mathematicians are pretty sure this is true.
Will Sawin of Columbia University and Mark Shusterman of the University of Wisconsin proved a version of the twin prime conjecture for the alternative universe of "finite fields": number systems that don't go to infinity like the number line, but instead loop back on themselves. You probably encounter a finite field every day on the face of a clock. It goes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and then loops back around to 1. In that finite field, 3+3 still equals 6. But 3+11=2.
Finite fields have polynomials, or expressions like "4x" or "3x+17x^2-4," Sawin told Live Science, just like regular numbers do. Mathematicians, he said, have learned that polynomials over finite fields behave a lot like integers — the whole numbers on the number line.
Statements that are true about integers tend to also be trust about polynomials over finite fields, and vice-versa. And just like prime numbers come in pairs, polynomials come in pairs. And ... unlike integers, when you plot them on a graph they make geometric shapes.
(Excerpt) Read more at livescience.com ...
Interesting. Most interesting.
Don’t understand a damn word of it!
It’s what I’ve suspected all along.
No they don't....
IN the latest update, scientists admit the bad news, Sawin said, is that because their trick relies heavily on geometry, it probably won't be possible to use it to prove the twin prime conjecture itself. The underlying mathematics is just too different.
Math = White Supremacy (Seattle School System)
“Finite fields”?
Is that like a horse pasture?
Nope. That’s filly fields.
Finite fields.
W.C. Fields nephew?
Nope. That’s Phineas Fields.
Odd child.
Had hair like a skunk.
Black with a white stripe.
Dogs would come from miles around to smell his shoes.
All math is in an alternate universe full of infinities both large and small. There are no known infinities in our universe.
“Behave a lot like integers”
They get that from their parents.
Send em to military school.
That’ll straighten em out.
Those Drill Sergeants will knock that integer behavior right out of them.
The 2019 version of a woke Charlie Brown, “That’s Racist”!
There are lots of Infiniti’s.
I almost bought one.
It had power floor carpet.
The operative word here is known. Do you think an actual infinity would be observable as such? How would you determine that is really was infinite and not just hugely large?
Is that another woman claiming that I broke her heart?
Well, she can get in line and that line goes on all the way to Schenectady.
It would go on past Schenectady, but I think the world ends there.
“How would you determine that is really was infinite and not just hugely large? “. It would require God-like power merely to observe it.
>> there are infinitely many twin primes, and that you’ll keep encountering them no matter how far down the number line you go. It also states there are infinitely many twin primes, and that you’ll keep encountering them no matter how far down the number line you go. <<
Huh? Twin sentences?
Woke is a joke.
Woke is a joke.
Nothing in the math about "alternate universes".
Prime numbers are a social construct.
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