What is the 9810th prime number?
The 9810th prime number is 102451. The next prime is 102461 (a gap of 10) and the one before is 102437.
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 9810th one is 102451.
- 2
102451 is prime because no prime up to ā102451 ā 320.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9810th prime is close to 9810 Ć ln(9810) ā 90165, and here it is 102451.
- 4
102451 has no twin: neither 102449 nor 102453 is prime.
Primes around the 9810th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9807 | 102409 | 2 |
| 9808 | 102433 | 24 |
| 9809 | 102437 | 4 |
| 9810 | 102451 | 14 |
| 9811 | 102461 | 10 |
| 9812 | 102481 | 20 |
| 9813 | 102497 | 16 |
Questions
What is the 9810th prime number?
102451.
Which prime number is 102451?
102451 is the 9810th prime number.
What is the sum of the first 9810 primes?
476,473,811.