What is the 5413th prime number?
The 5413th prime number is 53069. The next prime is 53077 (a gap of 8) and the one before is 53051.
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 5413th one is 53069.
- 2
53069 is prime because no prime up to ā53069 ā 230.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5413th prime is close to 5413 Ć ln(5413) ā 46533, and here it is 53069.
- 4
53069 has no twin: neither 53067 nor 53071 is prime.
Primes around the 5413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5410 | 53017 | 14 |
| 5411 | 53047 | 30 |
| 5412 | 53051 | 4 |
| 5413 | 53069 | 18 |
| 5414 | 53077 | 8 |
| 5415 | 53087 | 10 |
| 5416 | 53089 | 2 |
Questions
What is the 5413th prime number?
53069.
Which prime number is 53069?
53069 is the 5413th prime number.
What is the sum of the first 5413 primes?
135,441,926.