What is the 9021st prime number?
The 9021st prime number is 93407. The next prime is 93419 (a gap of 12) and the one before is 93383.
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 9021st one is 93407.
- 2
93407 is prime because no prime up to ā93407 ā 305.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9021st prime is close to 9021 Ć ln(9021) ā 82157, and here it is 93407.
- 4
93407 has no twin: neither 93405 nor 93409 is prime.
Primes around the 9021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9018 | 93371 | 34 |
| 9019 | 93377 | 6 |
| 9020 | 93383 | 6 |
| 9021 | 93407 | 24 |
| 9022 | 93419 | 12 |
| 9023 | 93427 | 8 |
| 9024 | 93463 | 36 |
Questions
What is the 9021st prime number?
93407.
Which prime number is 93407?
93407 is the 9021st prime number.
What is the sum of the first 9021 primes?
399,178,444.