I dont know?
Ans 2.
Well, Euclid knew, 2,000 years ago. He proved that whatever number you choose there is always a prime bigger than that number. Here's his proof, modified to deal with googolplex.
Make a list of all the primes that are smaller than googolplex. Multiply them all together, then add one. It's a big number - let's call it BIGNO.
Take any prime from the list and divide it into BIGNO. There will always be a remainder of one. No prime from the list divides BIGNO. That means that BIGNO is either prime, or is the product of two or more primes greater than googolplex. Either way there is a prime greater than googolplex.
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There is only one place above it, that is Googolplexplex or googolduplex. It contains a googolplex of zero's. Greater than googolplexplex is only infinity.
53 is a prime number that is greater than 50
smallest prime number greater than 49 = 53
The least prime number that is greater than 45 is 47.
Yes, a prime number is always greater than 1.