Reginald Achilles

Reginald Achilles is an independent researcher with a background in creative writing, philosophy, computer systems administration, and electronic music composition. His broad range of interests include philosophy of the mind, number theory, automated systems, social psychology, health and nutrition, and utilizing emergent technology for artistic purposes.

Exploration of Alternative Sets Adhering to the Goldbach Conjecture

The Goldbach conjecture states that all even integers are the sum of two odd primes. Although this result seems self-evident, it remains one of the oldest unproven conjectures in mathematics. I will be exploring a variety of alternatives to the set of primes. These include:

• The set of primes with all twin primes removed
• The set of primes with all prime triplets removed
• Various sets of non-prime odd integers

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