What does the existence and sequence of prime numbers tell us about the universe?

Question

Would all universes have the same prime numbers?

Does the sequence appear to be part of a hidden symmetry?

What does the pattern of prime numbers tell us about infinity?

Answer 1

I agree. The existence of prime numbers is of that of a mathematical, and not a physical nature. Prime numbers do not tell us anything about infinity, they're just numbers that are in a sequence. They don't tell us anything about infinity, and saying that just because they are in a pattern, will tell us something about infinity is just ridiculous. Saying that is exactly the same as saying that the flowers on my mousemat tells me something about infinity just because they are arranged in a pattern.

Answer 2

They are: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 and 97. The number 1 is NOT prime

Answer 3

I do higher math now but have never stopped loving prime numbers. Such a graspable concept and yet so troubling. In answer to your question though:
Math is fundamental. Anything that can not be defined in terms of math is really incomprehensible (even love and beauty can be reduced to math) so yes prime numbers are equal in all realities.
I'm not sure what you mean by symmetry in this context but the are part of very subtle tendencies (which I'm not going to get into here).
Prime numbers tell us little about infinity. We're more concerned with their distribution below limits. Do not misread this though they are infinite in quantity.

Answer 4

Mathematics is the same for all universes, (perhaps physics might be different in different universes).
Therefore all universes will have the same prime numbers. All counting numbers (2,3,4,5...) can be broken down as the product of some number of primes.
As the numbers go higher, primes become more and more scarce. There are an infinite number of prime numbers.

Answer 5

Prime numbers are a concept that exists outside of any physical frame of reference, so they have nothing to do with the symmetry of the universe, infinities, or other aspects of physics - except harmonic theory in music.

Answer 6

Absolutely nothing. All universes would, of course, have the same prime numbers; this is a mathematical, not a physical, property. Nor do primes say anything about infinity, which is a mathematical abstraction, not anything physically realizable.

Answer 7

Prime numbers are just one facet of a universe in which certain things are irreducible in the context in which they are defined. This hints at the hierarchical nature of existence
itself in which the physical universe participates.