What is the 9027th prime number?
The 9027th prime number is 93487. The next prime is 93491 (a gap of 4) and the one before is 93481.
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 9027th one is 93487.
- 2
93487 is prime because no prime up to ā93487 ā 305.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9027th prime is close to 9027 Ć ln(9027) ā 82218, and here it is 93487.
- 4
93487 has no twin: neither 93485 nor 93489 is prime.
Primes around the 9027th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9024 | 93463 | 36 |
| 9025 | 93479 | 16 |
| 9026 | 93481 | 2 |
| 9027 | 93487 | 6 |
| 9028 | 93491 | 4 |
| 9029 | 93493 | 2 |
| 9030 | 93497 | 4 |
Questions
What is the 9027th prime number?
93487.
Which prime number is 93487?
93487 is the 9027th prime number.
What is the sum of the first 9027 primes?
399,739,200.