What is the 9800th prime number?
The 9800th prime number is 102317. The next prime is 102329 (a gap of 12) and the one before is 102301.
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 9800th one is 102317.
- 2
102317 is prime because no prime up to ā102317 ā 319.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9800th prime is close to 9800 Ć ln(9800) ā 90063, and here it is 102317.
- 4
102317 has no twin: neither 102315 nor 102319 is prime.
Primes around the 9800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9797 | 102293 | 34 |
| 9798 | 102299 | 6 |
| 9799 | 102301 | 2 |
| 9800 | 102317 | 16 |
| 9801 | 102329 | 12 |
| 9802 | 102337 | 8 |
| 9803 | 102359 | 22 |
Questions
What is the 9800th prime number?
102317.
Which prime number is 102317?
102317 is the 9800th prime number.
What is the sum of the first 9800 primes?
475,449,885.