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- W2952380021 abstract "Under Cram'er's conjecture concerning the prime numbers, we prove that for any $x>1$, there exists a real $A=A(x)>1$ for which the formula $[A^{n^x}]$ (where $[]$ denotes the integer part) gives a prime number for any positive integer $n$. Under the same conjecture, we also prove that for any $epsilon>0$, there exists a positive real number $B$ for which the formula $[B.{n!}^{2+epsilon}]$ gives a prime number for any sufficiently large positive integer $n$." @default.
- W2952380021 created "2019-06-27" @default.
- W2952380021 creator A5071369191 @default.
- W2952380021 date "2006-11-24" @default.
- W2952380021 modified "2023-09-27" @default.
- W2952380021 title "Formulas giving prime numbers under Cram'er's conjecture" @default.
- W2952380021 hasPublicationYear "2006" @default.
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