What is the 9812th prime number?
The 9812th prime number is 102481. The next prime is 102497 (a gap of 16) and the one before is 102461.
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 9812th one is 102481.
- 2
102481 is prime because no prime up to ā102481 ā 320.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9812th prime is close to 9812 Ć ln(9812) ā 90186, and here it is 102481.
- 4
102481 has no twin: neither 102479 nor 102483 is prime.
Primes around the 9812th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9809 | 102437 | 4 |
| 9810 | 102451 | 14 |
| 9811 | 102461 | 10 |
| 9812 | 102481 | 20 |
| 9813 | 102497 | 16 |
| 9814 | 102499 | 2 |
| 9815 | 102503 | 4 |
Questions
What is the 9812th prime number?
102481.
Which prime number is 102481?
102481 is the 9812th prime number.
What is the sum of the first 9812 primes?
476,678,753.