What is the 5714th prime number?
The 5714th prime number is 56369. The next prime is 56377 (a gap of 8) and the one before is 56359.
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 5714th one is 56369.
- 2
56369 is prime because no prime up to ā56369 ā 237.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5714th prime is close to 5714 Ć ln(5714) ā 49430, and here it is 56369.
- 4
56369 has no twin: neither 56367 nor 56371 is prime.
Primes around the 5714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5711 | 56311 | 12 |
| 5712 | 56333 | 22 |
| 5713 | 56359 | 26 |
| 5714 | 56369 | 10 |
| 5715 | 56377 | 8 |
| 5716 | 56383 | 6 |
| 5717 | 56393 | 10 |
Questions
What is the 5714th prime number?
56369.
Which prime number is 56369?
56369 is the 5714th prime number.
What is the sum of the first 5714 primes?
151,908,831.