What is the 5409th prime number?
The 5409th prime number is 53003. The next prime is 53017 (a gap of 14) and the one before is 52999.
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 5409th one is 53003.
- 2
53003 is prime because no prime up to ā53003 ā 230.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5409th prime is close to 5409 Ć ln(5409) ā 46495, and here it is 53003.
- 4
53003 has no twin: neither 53001 nor 53005 is prime.
Primes around the 5409th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5406 | 52973 | 6 |
| 5407 | 52981 | 8 |
| 5408 | 52999 | 18 |
| 5409 | 53003 | 4 |
| 5410 | 53017 | 14 |
| 5411 | 53047 | 30 |
| 5412 | 53051 | 4 |
Questions
What is the 5409th prime number?
53003.
Which prime number is 53003?
53003 is the 5409th prime number.
What is the sum of the first 5409 primes?
135,229,742.