What is the 9801st prime number?
The 9801st prime number is 102329. The next prime is 102337 (a gap of 8) and the one before is 102317.
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 9801st one is 102329.
- 2
102329 is prime because no prime up to ā102329 ā 319.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9801st prime is close to 9801 Ć ln(9801) ā 90074, and here it is 102329.
- 4
102329 has no twin: neither 102327 nor 102331 is prime.
Primes around the 9801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9798 | 102299 | 6 |
| 9799 | 102301 | 2 |
| 9800 | 102317 | 16 |
| 9801 | 102329 | 12 |
| 9802 | 102337 | 8 |
| 9803 | 102359 | 22 |
| 9804 | 102367 | 8 |
Questions
What is the 9801st prime number?
102329.
Which prime number is 102329?
102329 is the 9801st prime number.
What is the sum of the first 9801 primes?
475,552,214.