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.
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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.
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Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $94$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $94$