On infinitude of primes
Srinivasan, S
HAL, hal-01104356 / Harvested from HAL
Text on HAL
Let $K (>1)$ and $k (>1)$ be given integers. In this paper we prove that $e_K(q)\equiv0 \mod k^{[m]}$ for infinitely many primes $q$, where $m=c_k\log\log q$ for a certain $c_k>0$ and $e_K(q)$ denotes the exponent of $K$ modulo $q$. In particular, $q\equiv1 \mod k$ for infinitely many primes $q$.
Publié le : 1984-07-04
Classification:  [MATH]Mathematics [math] 
@article{hal-01104356,
     author = {Srinivasan, S},
     title = {On infinitude of primes},
     journal = {HAL},
     volume = {1984},
     number = {0},
     year = {1984},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01104356}
}

Srinivasan, S. On infinitude of primes. HAL, Tome 1984 (1984) no. 0, . http://gdmltest.u-ga.fr/item/hal-01104356/