Andrica's conjecture (named after Romanian mathematician Dorin Andrica (es)) is a conjecture regarding the gaps between prime numbers. The conjecture states that the inequality p n + 1 − p n < 1 {\displaystyle {\sqrt {p_{n+1}}}-{\sqrt {p_{n}}}<1} holds for all n {\displaystyle n} , where p n {\displaystyle p_{n}} is the n {\displaystyle n} -th prime number.
Andrica's conjecture (named after Romanian mathematician Dorin Andrica (es)) is a conjecture regarding the gaps between prime numbers. The conjecture states that the inequality p n + 1 − p n < 1 {\displaystyle {\sqrt {p_{n+1}}}-{\sqrt {p_{n}}}<1} holds for all n {\displaystyle n} , where p n {\displaystyle p_{n}} is the n {\displaystyle n} -th prime number.
Source: Wikipedia "Andrica's conjecture" · CC BY-SA 4.0
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