What is the 5332nd prime number?
The 5332nd prime number is 52153. The next prime is 52163 (a gap of 10) and the one before is 52147.
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 5332nd one is 52153.
- 2
52153 is prime because no prime up to ā52153 ā 228.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5332nd prime is close to 5332 Ć ln(5332) ā 45756, and here it is 52153.
- 4
52153 has no twin: neither 52151 nor 52155 is prime.
Primes around the 5332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5329 | 52121 | 18 |
| 5330 | 52127 | 6 |
| 5331 | 52147 | 20 |
| 5332 | 52153 | 6 |
| 5333 | 52163 | 10 |
| 5334 | 52177 | 14 |
| 5335 | 52181 | 4 |
Questions
What is the 5332nd prime number?
52153.
Which prime number is 52153?
52153 is the 5332nd prime number.
What is the sum of the first 5332 primes?
131,180,017.