Even Integers not Sum of 2 Twin Primes
Theorem
The following even integers cannot be expressed as the sum of $2$ prime numbers which are each one of a pair of twin primes:
- $2, 4, 94, 96, 98, 400, 402, 404, \ldots$
This sequence is A007534 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
add a page to the effect that it is conjectured that this list is complete.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information.
To discuss it in more detail, feel free to use the talk page.
If you are able to do this, then when you have done so you can remove this instance of {{Expand}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
Proof
Can be demonstrated by brute force. A pseudocode program and a printout may be adequate, but first we need to develop a standard language-agnostic $\mathsf{Pr} \infty \mathsf{fWiki}$ pseudocode.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
When this page/section has been completed, {{ProofWanted}} should be removed from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page (see the proofread template for usage).
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $94$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $94$
