What is the 5330th prime number?
The 5330th prime number is 52127. The next prime is 52147 (a gap of 20) and the one before is 52121.
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 5330th one is 52127.
- 2
52127 is prime because no prime up to ā52127 ā 228.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5330th prime is close to 5330 Ć ln(5330) ā 45737, and here it is 52127.
- 4
52127 has no twin: neither 52125 nor 52129 is prime.
Primes around the 5330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5327 | 52081 | 12 |
| 5328 | 52103 | 22 |
| 5329 | 52121 | 18 |
| 5330 | 52127 | 6 |
| 5331 | 52147 | 20 |
| 5332 | 52153 | 6 |
| 5333 | 52163 | 10 |
Questions
What is the 5330th prime number?
52127.
Which prime number is 52127?
52127 is the 5330th prime number.
What is the sum of the first 5330 primes?
131,075,717.