What is the 5815th prime number?
The 5815th prime number is 57347. The next prime is 57349 (a gap of 2) and the one before is 57331.
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 5815th one is 57347.
- 2
57347 is prime because no prime up to ā57347 ā 239.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5815th prime is close to 5815 Ć ln(5815) ā 50406, and here it is 57347.
- 4
57347 is a twin prime: 57347 and 57349 are both prime.
Primes around the 5815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5812 | 57301 | 14 |
| 5813 | 57329 | 28 |
| 5814 | 57331 | 2 |
| 5815 | 57347 | 16 |
| 5816 | 57349 | 2 |
| 5817 | 57367 | 18 |
| 5818 | 57373 | 6 |
Questions
What is the 5815th prime number?
57347.
Which prime number is 57347?
57347 is the 5815th prime number.
What is the sum of the first 5815 primes?
157,650,872.