What is the 5698th prime number?
The 5698th prime number is 56167. The next prime is 56171 (a gap of 4) and the one before is 56149.
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 5698th one is 56167.
- 2
56167 is prime because no prime up to ā56167 ā 237.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5698th prime is close to 5698 Ć ln(5698) ā 49276, and here it is 56167.
- 4
56167 has no twin: neither 56165 nor 56169 is prime.
Primes around the 5698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5695 | 56123 | 10 |
| 5696 | 56131 | 8 |
| 5697 | 56149 | 18 |
| 5698 | 56167 | 18 |
| 5699 | 56171 | 4 |
| 5700 | 56179 | 8 |
| 5701 | 56197 | 18 |
Questions
What is the 5698th prime number?
56167.
Which prime number is 56167?
56167 is the 5698th prime number.
What is the sum of the first 5698 primes?
151,008,673.