What is the 9797th prime number?
The 9797th prime number is 102293. The next prime is 102299 (a gap of 6) and the one before is 102259.
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 9797th one is 102293.
- 2
102293 is prime because no prime up to ā102293 ā 319.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9797th prime is close to 9797 Ć ln(9797) ā 90033, and here it is 102293.
- 4
102293 has no twin: neither 102291 nor 102295 is prime.
Primes around the 9797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9794 | 102251 | 10 |
| 9795 | 102253 | 2 |
| 9796 | 102259 | 6 |
| 9797 | 102293 | 34 |
| 9798 | 102299 | 6 |
| 9799 | 102301 | 2 |
| 9800 | 102317 | 16 |
Questions
What is the 9797th prime number?
102293.
Which prime number is 102293?
102293 is the 9797th prime number.
What is the sum of the first 9797 primes?
475,142,968.