What is the 5300th prime number?
The 5300th prime number is 51803. The next prime is 51817 (a gap of 14) and the one before is 51797.
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 5300th one is 51803.
- 2
51803 is prime because no prime up to ā51803 ā 227.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5300th prime is close to 5300 Ć ln(5300) ā 45450, and here it is 51803.
- 4
51803 has no twin: neither 51801 nor 51805 is prime.
Primes around the 5300th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5297 | 51769 | 2 |
| 5298 | 51787 | 18 |
| 5299 | 51797 | 10 |
| 5300 | 51803 | 6 |
| 5301 | 51817 | 14 |
| 5302 | 51827 | 10 |
| 5303 | 51829 | 2 |
Questions
What is the 5300th prime number?
51803.
Which prime number is 51803?
51803 is the 5300th prime number.
What is the sum of the first 5300 primes?
129,516,877.