What is the 5410th prime number?
The 5410th prime number is 53017. The next prime is 53047 (a gap of 30) and the one before is 53003.
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 5410th one is 53017.
- 2
53017 is prime because no prime up to ā53017 ā 230.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5410th prime is close to 5410 Ć ln(5410) ā 46504, and here it is 53017.
- 4
53017 has no twin: neither 53015 nor 53019 is prime.
Primes around the 5410th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5407 | 52981 | 8 |
| 5408 | 52999 | 18 |
| 5409 | 53003 | 4 |
| 5410 | 53017 | 14 |
| 5411 | 53047 | 30 |
| 5412 | 53051 | 4 |
| 5413 | 53069 | 18 |
Questions
What is the 5410th prime number?
53017.
Which prime number is 53017?
53017 is the 5410th prime number.
What is the sum of the first 5410 primes?
135,282,759.