What is the 5328th prime number?
The 5328th prime number is 52103. The next prime is 52121 (a gap of 18) and the one before is 52081.
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 5328th one is 52103.
- 2
52103 is prime because no prime up to ā52103 ā 228.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5328th prime is close to 5328 Ć ln(5328) ā 45718, and here it is 52103.
- 4
52103 has no twin: neither 52101 nor 52105 is prime.
Primes around the 5328th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5325 | 52067 | 10 |
| 5326 | 52069 | 2 |
| 5327 | 52081 | 12 |
| 5328 | 52103 | 22 |
| 5329 | 52121 | 18 |
| 5330 | 52127 | 6 |
| 5331 | 52147 | 20 |
Questions
What is the 5328th prime number?
52103.
Which prime number is 52103?
52103 is the 5328th prime number.
What is the sum of the first 5328 primes?
130,971,469.