What is the 5389th prime number?
The 5389th prime number is 52807. The next prime is 52813 (a gap of 6) and the one before is 52783.
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 5389th one is 52807.
- 2
52807 is prime because no prime up to ā52807 ā 229.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5389th prime is close to 5389 Ć ln(5389) ā 46303, and here it is 52807.
- 4
52807 has no twin: neither 52805 nor 52809 is prime.
Primes around the 5389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5386 | 52757 | 10 |
| 5387 | 52769 | 12 |
| 5388 | 52783 | 14 |
| 5389 | 52807 | 24 |
| 5390 | 52813 | 6 |
| 5391 | 52817 | 4 |
| 5392 | 52837 | 20 |
Questions
What is the 5389th prime number?
52807.
Which prime number is 52807?
52807 is the 5389th prime number.
What is the sum of the first 5389 primes?
134,171,450.