What is the 1022nd prime number?
The 1022nd prime number is 8123. The next prime is 8147 (a gap of 24) and the one before is 8117.
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 1022nd one is 8123.
- 2
8123 is prime because no prime up to ā8123 ā 90.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1022nd prime is close to 1022 Ć ln(1022) ā 7082, and here it is 8123.
- 4
8123 has no twin: neither 8121 nor 8125 is prime.
Primes around the 1022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1019 | 8101 | 8 |
| 1020 | 8111 | 10 |
| 1021 | 8117 | 6 |
| 1022 | 8123 | 6 |
| 1023 | 8147 | 24 |
| 1024 | 8161 | 14 |
| 1025 | 8167 | 6 |
Questions
What is the 1022nd prime number?
8123.
Which prime number is 8123?
8123 is the 1022nd prime number.
What is the sum of the first 1022 primes?
3,859,625.