What is the 99th prime number?
The 99th prime number is 523. The next prime is 541 (a gap of 18) and the one before is 521.
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 99th one is 523.
- 2
523 is prime because no prime up to ā523 ā 22.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 99th prime is close to 99 Ć ln(99) ā 455, and here it is 523.
- 4
523 is a twin prime: 521 and 523 are both prime.
Primes around the 99th
| Position | Prime | Gap from the previous |
|---|---|---|
| 96 | 503 | 4 |
| 97 | 509 | 6 |
| 98 | 521 | 12 |
| 99 | 523 | 2 |
| 100 | 541 | 18 |
| 101 | 547 | 6 |
| 102 | 557 | 10 |
Questions
What is the 99th prime number?
523.
Which prime number is 523?
523 is the 99th prime number.
What is the sum of the first 99 primes?
23,592.