What is the 98th prime number?
The 98th prime number is 521. The next prime is 523 (a gap of 2) and the one before is 509.
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 98th one is 521.
- 2
521 is prime because no prime up to ā521 ā 22.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 98th prime is close to 98 Ć ln(98) ā 449, and here it is 521.
- 4
521 is a twin prime: 521 and 523 are both prime.
Primes around the 98th
| Position | Prime | Gap from the previous |
|---|---|---|
| 95 | 499 | 8 |
| 96 | 503 | 4 |
| 97 | 509 | 6 |
| 98 | 521 | 12 |
| 99 | 523 | 2 |
| 100 | 541 | 18 |
| 101 | 547 | 6 |
Questions
What is the 98th prime number?
521.
Which prime number is 521?
521 is the 98th prime number.
What is the sum of the first 98 primes?
23,069.