What is the 9813th prime number?
The 9813th prime number is 102497. The next prime is 102499 (a gap of 2) and the one before is 102481.
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 9813th one is 102497.
- 2
102497 is prime because no prime up to ā102497 ā 320.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9813th prime is close to 9813 Ć ln(9813) ā 90196, and here it is 102497.
- 4
102497 is a twin prime: 102497 and 102499 are both prime.
Primes around the 9813th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9810 | 102451 | 14 |
| 9811 | 102461 | 10 |
| 9812 | 102481 | 20 |
| 9813 | 102497 | 16 |
| 9814 | 102499 | 2 |
| 9815 | 102503 | 4 |
| 9816 | 102523 | 20 |
Questions
What is the 9813th prime number?
102497.
Which prime number is 102497?
102497 is the 9813th prime number.
What is the sum of the first 9813 primes?
476,781,250.