What is the 5408th prime number?
The 5408th prime number is 52999. The next prime is 53003 (a gap of 4) and the one before is 52981.
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 5408th one is 52999.
- 2
52999 is prime because no prime up to ā52999 ā 230.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5408th prime is close to 5408 Ć ln(5408) ā 46485, and here it is 52999.
- 4
52999 has no twin: neither 52997 nor 53001 is prime.
Primes around the 5408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5405 | 52967 | 4 |
| 5406 | 52973 | 6 |
| 5407 | 52981 | 8 |
| 5408 | 52999 | 18 |
| 5409 | 53003 | 4 |
| 5410 | 53017 | 14 |
| 5411 | 53047 | 30 |
Questions
What is the 5408th prime number?
52999.
Which prime number is 52999?
52999 is the 5408th prime number.
What is the sum of the first 5408 primes?
135,176,739.