What is the 5394th prime number?
The 5394th prime number is 52861. The next prime is 52879 (a gap of 18) and the one before is 52859.
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 5394th one is 52861.
- 2
52861 is prime because no prime up to ā52861 ā 229.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5394th prime is close to 5394 Ć ln(5394) ā 46351, and here it is 52861.
- 4
52861 is a twin prime: 52859 and 52861 are both prime.
Primes around the 5394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5391 | 52817 | 4 |
| 5392 | 52837 | 20 |
| 5393 | 52859 | 22 |
| 5394 | 52861 | 2 |
| 5395 | 52879 | 18 |
| 5396 | 52883 | 4 |
| 5397 | 52889 | 6 |
Questions
What is the 5394th prime number?
52861.
Which prime number is 52861?
52861 is the 5394th prime number.
What is the sum of the first 5394 primes?
134,435,637.