What is the 1025th prime number?
The 1025th prime number is 8167. The next prime is 8171 (a gap of 4) and the one before is 8161.
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 1025th one is 8167.
- 2
8167 is prime because no prime up to ā8167 ā 90.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1025th prime is close to 1025 Ć ln(1025) ā 7106, and here it is 8167.
- 4
8167 has no twin: neither 8165 nor 8169 is prime.
Primes around the 1025th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1022 | 8123 | 6 |
| 1023 | 8147 | 24 |
| 1024 | 8161 | 14 |
| 1025 | 8167 | 6 |
| 1026 | 8171 | 4 |
| 1027 | 8179 | 8 |
| 1028 | 8191 | 12 |
Questions
What is the 1025th prime number?
8167.
Which prime number is 8167?
8167 is the 1025th prime number.
What is the sum of the first 1025 primes?
3,884,100.