What is the 5390th prime number?
The 5390th prime number is 52813. The next prime is 52817 (a gap of 4) and the one before is 52807.
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 5390th one is 52813.
- 2
52813 is prime because no prime up to ā52813 ā 229.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5390th prime is close to 5390 Ć ln(5390) ā 46313, and here it is 52813.
- 4
52813 has no twin: neither 52811 nor 52815 is prime.
Primes around the 5390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5387 | 52769 | 12 |
| 5388 | 52783 | 14 |
| 5389 | 52807 | 24 |
| 5390 | 52813 | 6 |
| 5391 | 52817 | 4 |
| 5392 | 52837 | 20 |
| 5393 | 52859 | 22 |
Questions
What is the 5390th prime number?
52813.
Which prime number is 52813?
52813 is the 5390th prime number.
What is the sum of the first 5390 primes?
134,224,263.