What is the 9025th prime number?
The 9025th prime number is 93479. The next prime is 93481 (a gap of 2) and the one before is 93463.
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 9025th one is 93479.
- 2
93479 is prime because no prime up to ā93479 ā 305.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9025th prime is close to 9025 Ć ln(9025) ā 82197, and here it is 93479.
- 4
93479 is a twin prime: 93479 and 93481 are both prime.
Primes around the 9025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9022 | 93419 | 12 |
| 9023 | 93427 | 8 |
| 9024 | 93463 | 36 |
| 9025 | 93479 | 16 |
| 9026 | 93481 | 2 |
| 9027 | 93487 | 6 |
| 9028 | 93491 | 4 |
Questions
What is the 9025th prime number?
93479.
Which prime number is 93479?
93479 is the 9025th prime number.
What is the sum of the first 9025 primes?
399,552,232.