What is the 1024th prime number?
The 1024th prime number is 8161. The next prime is 8167 (a gap of 6) and the one before is 8147.
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 1024th one is 8161.
- 2
8161 is prime because no prime up to ā8161 ā 90.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1024th prime is close to 1024 Ć ln(1024) ā 7098, and here it is 8161.
- 4
8161 has no twin: neither 8159 nor 8163 is prime.
Primes around the 1024th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1021 | 8117 | 6 |
| 1022 | 8123 | 6 |
| 1023 | 8147 | 24 |
| 1024 | 8161 | 14 |
| 1025 | 8167 | 6 |
| 1026 | 8171 | 4 |
| 1027 | 8179 | 8 |
Questions
What is the 1024th prime number?
8161.
Which prime number is 8161?
8161 is the 1024th prime number.
What is the sum of the first 1024 primes?
3,875,933.