What is the 5812th prime number?
The 5812th prime number is 57301. The next prime is 57329 (a gap of 28) and the one before is 57287.
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 5812th one is 57301.
- 2
57301 is prime because no prime up to ā57301 ā 239.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5812th prime is close to 5812 Ć ln(5812) ā 50377, and here it is 57301.
- 4
57301 has no twin: neither 57299 nor 57303 is prime.
Primes around the 5812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5809 | 57271 | 2 |
| 5810 | 57283 | 12 |
| 5811 | 57287 | 4 |
| 5812 | 57301 | 14 |
| 5813 | 57329 | 28 |
| 5814 | 57331 | 2 |
| 5815 | 57347 | 16 |
Questions
What is the 5812th prime number?
57301.
Which prime number is 57301?
57301 is the 5812th prime number.
What is the sum of the first 5812 primes?
157,478,865.