What is the 5718th prime number?
The 5718th prime number is 56401. The next prime is 56417 (a gap of 16) and the one before is 56393.
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 5718th one is 56401.
- 2
56401 is prime because no prime up to ā56401 ā 237.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5718th prime is close to 5718 Ć ln(5718) ā 49469, and here it is 56401.
- 4
56401 has no twin: neither 56399 nor 56403 is prime.
Primes around the 5718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5715 | 56377 | 8 |
| 5716 | 56383 | 6 |
| 5717 | 56393 | 10 |
| 5718 | 56401 | 8 |
| 5719 | 56417 | 16 |
| 5720 | 56431 | 14 |
| 5721 | 56437 | 6 |
Questions
What is the 5718th prime number?
56401.
Which prime number is 56401?
56401 is the 5718th prime number.
What is the sum of the first 5718 primes?
152,134,385.