What is the 5324th prime number?
The 5324th prime number is 52057. The next prime is 52067 (a gap of 10) and the one before is 52051.
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 5324th one is 52057.
- 2
52057 is prime because no prime up to ā52057 ā 228.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5324th prime is close to 5324 Ć ln(5324) ā 45680, and here it is 52057.
- 4
52057 has no twin: neither 52055 nor 52059 is prime.
Primes around the 5324th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5321 | 52021 | 12 |
| 5322 | 52027 | 6 |
| 5323 | 52051 | 24 |
| 5324 | 52057 | 6 |
| 5325 | 52067 | 10 |
| 5326 | 52069 | 2 |
| 5327 | 52081 | 12 |
Questions
What is the 5324th prime number?
52057.
Which prime number is 52057?
52057 is the 5324th prime number.
What is the sum of the first 5324 primes?
130,763,149.