What is the 4698th prime number?
The 4698th prime number is 45289. The next prime is 45293 (a gap of 4) and the one before is 45281.
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 4698th one is 45289.
- 2
45289 is prime because no prime up to ā45289 ā 212.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4698th prime is close to 4698 Ć ln(4698) ā 39721, and here it is 45289.
- 4
45289 has no twin: neither 45287 nor 45291 is prime.
Primes around the 4698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4695 | 45259 | 12 |
| 4696 | 45263 | 4 |
| 4697 | 45281 | 18 |
| 4698 | 45289 | 8 |
| 4699 | 45293 | 4 |
| 4700 | 45307 | 14 |
| 4701 | 45317 | 10 |
Questions
What is the 4698th prime number?
45289.
Which prime number is 45289?
45289 is the 4698th prime number.
What is the sum of the first 4698 primes?
100,271,949.