What is the 5331st prime number?
The 5331st prime number is 52147. The next prime is 52153 (a gap of 6) and the one before is 52127.
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 5331st one is 52147.
- 2
52147 is prime because no prime up to ā52147 ā 228.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5331st prime is close to 5331 Ć ln(5331) ā 45747, and here it is 52147.
- 4
52147 has no twin: neither 52145 nor 52149 is prime.
Primes around the 5331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5328 | 52103 | 22 |
| 5329 | 52121 | 18 |
| 5330 | 52127 | 6 |
| 5331 | 52147 | 20 |
| 5332 | 52153 | 6 |
| 5333 | 52163 | 10 |
| 5334 | 52177 | 14 |
Questions
What is the 5331st prime number?
52147.
Which prime number is 52147?
52147 is the 5331st prime number.
What is the sum of the first 5331 primes?
131,127,864.