What is the 9023rd prime number?
The 9023rd prime number is 93427. The next prime is 93463 (a gap of 36) and the one before is 93419.
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 9023rd one is 93427.
- 2
93427 is prime because no prime up to ā93427 ā 305.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9023rd prime is close to 9023 Ć ln(9023) ā 82177, and here it is 93427.
- 4
93427 has no twin: neither 93425 nor 93429 is prime.
Primes around the 9023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9020 | 93383 | 6 |
| 9021 | 93407 | 24 |
| 9022 | 93419 | 12 |
| 9023 | 93427 | 8 |
| 9024 | 93463 | 36 |
| 9025 | 93479 | 16 |
| 9026 | 93481 | 2 |
Questions
What is the 9023rd prime number?
93427.
Which prime number is 93427?
93427 is the 9023rd prime number.
What is the sum of the first 9023 primes?
399,365,290.