What is the 5327th prime number?
The 5327th prime number is 52081. The next prime is 52103 (a gap of 22) and the one before is 52069.
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 5327th one is 52081.
- 2
52081 is prime because no prime up to ā52081 ā 228.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5327th prime is close to 5327 Ć ln(5327) ā 45709, and here it is 52081.
- 4
52081 has no twin: neither 52079 nor 52083 is prime.
Primes around the 5327th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5324 | 52057 | 6 |
| 5325 | 52067 | 10 |
| 5326 | 52069 | 2 |
| 5327 | 52081 | 12 |
| 5328 | 52103 | 22 |
| 5329 | 52121 | 18 |
| 5330 | 52127 | 6 |
Questions
What is the 5327th prime number?
52081.
Which prime number is 52081?
52081 is the 5327th prime number.
What is the sum of the first 5327 primes?
130,919,366.