What is the 5299th prime number?
The 5299th prime number is 51797. The next prime is 51803 (a gap of 6) and the one before is 51787.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5299th one is 51797.
- 2
51797 is prime because no prime up to ā51797 ā 227.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5299th prime is close to 5299 Ć ln(5299) ā 45440, and here it is 51797.
- 4
51797 has no twin: neither 51795 nor 51799 is prime.
Primes around the 5299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5296 | 51767 | 18 |
| 5297 | 51769 | 2 |
| 5298 | 51787 | 18 |
| 5299 | 51797 | 10 |
| 5300 | 51803 | 6 |
| 5301 | 51817 | 14 |
| 5302 | 51827 | 10 |
Questions
What is the 5299th prime number?
51797.
Which prime number is 51797?
51797 is the 5299th prime number.
What is the sum of the first 5299 primes?
129,465,074.