What is the 9022nd prime number?
The 9022nd prime number is 93419. The next prime is 93427 (a gap of 8) and the one before is 93407.
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 9022nd one is 93419.
- 2
93419 is prime because no prime up to ā93419 ā 305.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9022nd prime is close to 9022 Ć ln(9022) ā 82167, and here it is 93419.
- 4
93419 has no twin: neither 93417 nor 93421 is prime.
Primes around the 9022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9019 | 93377 | 6 |
| 9020 | 93383 | 6 |
| 9021 | 93407 | 24 |
| 9022 | 93419 | 12 |
| 9023 | 93427 | 8 |
| 9024 | 93463 | 36 |
| 9025 | 93479 | 16 |
Questions
What is the 9022nd prime number?
93419.
Which prime number is 93419?
93419 is the 9022nd prime number.
What is the sum of the first 9022 primes?
399,271,863.