Goldbach's conjecture
Conjecture that every even integer greater than 2 is the sum of two primes
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Goldbach's conjecture states that every even number greater than 2 can be written as the sum of two prime numbers. Though mathematicians have tested this idea for enormous numbers and found it to be true in every case, nobody has been able to prove it's always correct, making it one of mathematics' most famous unsolved problems.
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Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers.
The conjecture has been shown to hold for all natural numbers less than 4×10, but remains unproven despite considerable effort.