What is the 5697th prime number?
The 5697th prime number is 56149. The next prime is 56167 (a gap of 18) and the one before is 56131.
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 5697th one is 56149.
- 2
56149 is prime because no prime up to ā56149 ā 236.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5697th prime is close to 5697 Ć ln(5697) ā 49266, and here it is 56149.
- 4
56149 has no twin: neither 56147 nor 56151 is prime.
Primes around the 5697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5694 | 56113 | 12 |
| 5695 | 56123 | 10 |
| 5696 | 56131 | 8 |
| 5697 | 56149 | 18 |
| 5698 | 56167 | 18 |
| 5699 | 56171 | 4 |
| 5700 | 56179 | 8 |
Questions
What is the 5697th prime number?
56149.
Which prime number is 56149?
56149 is the 5697th prime number.
What is the sum of the first 5697 primes?
150,952,506.