What is the 9807th prime number?
The 9807th prime number is 102409. The next prime is 102433 (a gap of 24) and the one before is 102407.
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 9807th one is 102409.
- 2
102409 is prime because no prime up to ā102409 ā 320.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9807th prime is close to 9807 Ć ln(9807) ā 90135, and here it is 102409.
- 4
102409 is a twin prime: 102407 and 102409 are both prime.
Primes around the 9807th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9804 | 102367 | 8 |
| 9805 | 102397 | 30 |
| 9806 | 102407 | 10 |
| 9807 | 102409 | 2 |
| 9808 | 102433 | 24 |
| 9809 | 102437 | 4 |
| 9810 | 102451 | 14 |
Questions
What is the 9807th prime number?
102409.
Which prime number is 102409?
102409 is the 9807th prime number.
What is the sum of the first 9807 primes?
476,166,490.