What is the 9024th prime number?
The 9024th prime number is 93463. The next prime is 93479 (a gap of 16) and the one before is 93427.
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 9024th one is 93463.
- 2
93463 is prime because no prime up to ā93463 ā 305.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9024th prime is close to 9024 Ć ln(9024) ā 82187, and here it is 93463.
- 4
93463 has no twin: neither 93461 nor 93465 is prime.
Primes around the 9024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9021 | 93407 | 24 |
| 9022 | 93419 | 12 |
| 9023 | 93427 | 8 |
| 9024 | 93463 | 36 |
| 9025 | 93479 | 16 |
| 9026 | 93481 | 2 |
| 9027 | 93487 | 6 |
Questions
What is the 9024th prime number?
93463.
Which prime number is 93463?
93463 is the 9024th prime number.
What is the sum of the first 9024 primes?
399,458,753.