What is the 9026th prime number?
The 9026th prime number is 93481. The next prime is 93487 (a gap of 6) and the one before is 93479.
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 9026th one is 93481.
- 2
93481 is prime because no prime up to ā93481 ā 305.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9026th prime is close to 9026 Ć ln(9026) ā 82208, and here it is 93481.
- 4
93481 is a twin prime: 93479 and 93481 are both prime.
Primes around the 9026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9023 | 93427 | 8 |
| 9024 | 93463 | 36 |
| 9025 | 93479 | 16 |
| 9026 | 93481 | 2 |
| 9027 | 93487 | 6 |
| 9028 | 93491 | 4 |
| 9029 | 93493 | 2 |
Questions
What is the 9026th prime number?
93481.
Which prime number is 93481?
93481 is the 9026th prime number.
What is the sum of the first 9026 primes?
399,645,713.