关于2~ip^j+1型素数及其原根

On primes of the form 2~ip^j+1 and their primitive roots

对2ipj+1型素数进行了讨论,证明了关于素数原根的两个猜想,并进一步证明了当i3时,2不是2ipj+1型素数的原根.

Some properties of the primes of the form 2ipj ＋1 and their primitive roots were discussed. Two conjectures on prime＇s primitive roots were proved. It was also proved that 2 is not a primitive root for each prime of the form 2ipj ＋ 1 for i ≥3.