A conjecture about sums of uniquely valued primes

Thread starter Loren Booda
Start date May 27, 2009
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Conjecture Primes Sums

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May 27, 2009

Loren Booda

"Of the numbers N>1, only 4 and 6 cannot be expressed as a sum of prime numbers with unique values."

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May 27, 2009

JCVD

https://www.physicsforums.com/showthread.php?t=303457

May 27, 2009

Loren Booda

Thanks for the pointer, JCVD. Too simple to be undiscovered!

1. What is the conjecture about sums of uniquely valued primes?

The conjecture states that any integer can be expressed as the sum of two uniquely valued prime numbers, meaning that each prime number can only appear once in the sum.

2. Who proposed this conjecture?

The conjecture was proposed by mathematician Christian Goldbach in a letter to Leonhard Euler in 1742.

3. Has the conjecture been proven?

No, the conjecture has not been proven. It remains an open problem in mathematics and has not been disproven either.

4. What is the significance of this conjecture?

If proven to be true, the conjecture would provide a deeper understanding of prime numbers and their relationship to other integers. It could also have applications in number theory and cryptography.