The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.
These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers.
\Phi3(x)
x2+x+1
These are probable primes. Primality has not been proven because it is too hard for general numbers of this size but they are expected to be primes.