What is the 5329th prime number?
The 5329th prime number is 52121. The next prime is 52127 (a gap of 6) and the one before is 52103.
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 5329th one is 52121.
- 2
52121 is prime because no prime up to ā52121 ā 228.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5329th prime is close to 5329 Ć ln(5329) ā 45728, and here it is 52121.
- 4
52121 has no twin: neither 52119 nor 52123 is prime.
Primes around the 5329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5326 | 52069 | 2 |
| 5327 | 52081 | 12 |
| 5328 | 52103 | 22 |
| 5329 | 52121 | 18 |
| 5330 | 52127 | 6 |
| 5331 | 52147 | 20 |
| 5332 | 52153 | 6 |
Questions
What is the 5329th prime number?
52121.
Which prime number is 52121?
52121 is the 5329th prime number.
What is the sum of the first 5329 primes?
131,023,590.