What is the 5717th prime number?
The 5717th prime number is 56393. The next prime is 56401 (a gap of 8) and the one before is 56383.
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 5717th one is 56393.
- 2
56393 is prime because no prime up to ā56393 ā 237.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5717th prime is close to 5717 Ć ln(5717) ā 49459, and here it is 56393.
- 4
56393 has no twin: neither 56391 nor 56395 is prime.
Primes around the 5717th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5714 | 56369 | 10 |
| 5715 | 56377 | 8 |
| 5716 | 56383 | 6 |
| 5717 | 56393 | 10 |
| 5718 | 56401 | 8 |
| 5719 | 56417 | 16 |
| 5720 | 56431 | 14 |
Questions
What is the 5717th prime number?
56393.
Which prime number is 56393?
56393 is the 5717th prime number.
What is the sum of the first 5717 primes?
152,077,984.