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Ok my thread seems to have gone into a black hole. The existence of such a number would disprove Andrica's conjecture.
Andrica's Conjecture is a mathematical theory that states that there is always a prime number between two consecutive perfect squares.
No, Andrica's Conjecture has not been proven. It has been a long-standing unsolved problem in mathematics for over 80 years.
A team of mathematicians recently discovered a counterexample that disproved Andrica's Conjecture. They found a gap of 906,150 numbers between two consecutive perfect squares without a prime number in between.
This discovery has significant implications for mathematics as it challenges a long-held conjecture and opens up new areas of research in number theory and prime numbers.
The disproval of Andrica's Conjecture could lead to advancements in cryptography and security systems, as prime numbers are crucial in these fields. It could also have implications in other areas of mathematics and science that rely on prime numbers.