On the Riemann Prime Counting Function

[Guest]

Keywords: Mathematical Synthesis (Construction) via primes and nontrivial simple zeros of Riemann Zeta Function and Dual Correlation

Reference Relevant Links:

Riemann Prime Counting Function;

Prime-counting function.

[Guest]

A Conjecture of Prime Importance: The unique prime numbers (2, 3, 5, 7, ...) indicate or imply that all nontrivial zeros of the Riemann Zeta Function are simple.

Please prove or disprove our conjecture. Godspeed!

[Guest]

A Conjecture of Prime Importance: The[b] unique prime numbers (2, 3, 5, 7, ...) indicate or imply that all nontrivial zeros of the Riemann Zeta Function are simple.[/b]

Please prove or disprove our conjecture. Godspeed!

Another Conjecture of Prime Importance: All nontrivial simple zeros of the Riemann Zeta Function indicate or imply the unique prime numbers (2, 3, 5, 7, ...).

Please prove or disprove our conjecture. Godspeed!

[Guest]

Quote of the Day: "Proof is true confidence!"

[Guest]

Hmm. The trivial zeros of RZF (Riemann Zeta Function) indicate the even prime number (2) and much more. Right?

The nontrivial simple zeros of RZF indicate or imply the odd prime numbers. Right?

[Guest]

Update:

Hmm. The trivial zeros of RZF (Riemann Zeta Function) imply or indicate the truth of the Polignac's Conjecture and the even prime number(2), implicitly. Right?

The nontrivial simple zeros of RZF indicate or imply all prime numbers.... Right?

[Guest]

FYI: The trivial zeros of RZF are 0 (implies or indicates the even prime), -2, -4, -6,... Right?

[Guest]

FYI: The trivial zeros of RZF are 0 (implies or indicates the even prime), -2, -4, -6,... Right?

Another Quote of the Day: “A journey on a path with heart begins with the first step. Mistakes are common and expected, but friends are rare jewels along the way. Be thankful for all the good there is. Thank Lord GOD! Amen!”

[Guest]

An Update:

For all primes, the trivial zero of RZF, 0, may imply or indicate

2 - 2 = 0, 3 - 3 = 0, 5 - 5 = 0, 7 - 7 = 0, 11 - 11 = 0 ... Right?

Otherwise, we may be inconsistent in our reasoning. Right?