What is the 5325th prime number?
The 5325th prime number is 52067. The next prime is 52069 (a gap of 2) and the one before is 52057.
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 5325th one is 52067.
- 2
52067 is prime because no prime up to ā52067 ā 228.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5325th prime is close to 5325 Ć ln(5325) ā 45689, and here it is 52067.
- 4
52067 is a twin prime: 52067 and 52069 are both prime.
Primes around the 5325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5322 | 52027 | 6 |
| 5323 | 52051 | 24 |
| 5324 | 52057 | 6 |
| 5325 | 52067 | 10 |
| 5326 | 52069 | 2 |
| 5327 | 52081 | 12 |
| 5328 | 52103 | 22 |
Questions
What is the 5325th prime number?
52067.
Which prime number is 52067?
52067 is the 5325th prime number.
What is the sum of the first 5325 primes?
130,815,216.