What is the 9809th prime number?
The 9809th prime number is 102437. The next prime is 102451 (a gap of 14) and the one before is 102433.
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 9809th one is 102437.
- 2
102437 is prime because no prime up to ā102437 ā 320.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9809th prime is close to 9809 Ć ln(9809) ā 90155, and here it is 102437.
- 4
102437 has no twin: neither 102435 nor 102439 is prime.
Primes around the 9809th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9806 | 102407 | 10 |
| 9807 | 102409 | 2 |
| 9808 | 102433 | 24 |
| 9809 | 102437 | 4 |
| 9810 | 102451 | 14 |
| 9811 | 102461 | 10 |
| 9812 | 102481 | 20 |
Questions
What is the 9809th prime number?
102437.
Which prime number is 102437?
102437 is the 9809th prime number.
What is the sum of the first 9809 primes?
476,371,360.