What is the 5715th prime number?
The 5715th prime number is 56377. The next prime is 56383 (a gap of 6) and the one before is 56369.
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 5715th one is 56377.
- 2
56377 is prime because no prime up to ā56377 ā 237.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5715th prime is close to 5715 Ć ln(5715) ā 49440, and here it is 56377.
- 4
56377 has no twin: neither 56375 nor 56379 is prime.
Primes around the 5715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5712 | 56333 | 22 |
| 5713 | 56359 | 26 |
| 5714 | 56369 | 10 |
| 5715 | 56377 | 8 |
| 5716 | 56383 | 6 |
| 5717 | 56393 | 10 |
| 5718 | 56401 | 8 |
Questions
What is the 5715th prime number?
56377.
Which prime number is 56377?
56377 is the 5715th prime number.
What is the sum of the first 5715 primes?
151,965,208.