What is the 5326th prime number?
The 5326th prime number is 52069. The next prime is 52081 (a gap of 12) and the one before is 52067.
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 5326th one is 52069.
- 2
52069 is prime because no prime up to ā52069 ā 228.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5326th prime is close to 5326 Ć ln(5326) ā 45699, and here it is 52069.
- 4
52069 is a twin prime: 52067 and 52069 are both prime.
Primes around the 5326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5323 | 52051 | 24 |
| 5324 | 52057 | 6 |
| 5325 | 52067 | 10 |
| 5326 | 52069 | 2 |
| 5327 | 52081 | 12 |
| 5328 | 52103 | 22 |
| 5329 | 52121 | 18 |
Questions
What is the 5326th prime number?
52069.
Which prime number is 52069?
52069 is the 5326th prime number.
What is the sum of the first 5326 primes?
130,867,285.