What is the 4697th prime number?
The 4697th prime number is 45281. The next prime is 45289 (a gap of 8) and the one before is 45263.
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 4697th one is 45281.
- 2
45281 is prime because no prime up to ā45281 ā 212.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4697th prime is close to 4697 Ć ln(4697) ā 39712, and here it is 45281.
- 4
45281 has no twin: neither 45279 nor 45283 is prime.
Primes around the 4697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4694 | 45247 | 14 |
| 4695 | 45259 | 12 |
| 4696 | 45263 | 4 |
| 4697 | 45281 | 18 |
| 4698 | 45289 | 8 |
| 4699 | 45293 | 4 |
| 4700 | 45307 | 14 |
Questions
What is the 4697th prime number?
45281.
Which prime number is 45281?
45281 is the 4697th prime number.
What is the sum of the first 4697 primes?
100,226,660.