What is the 1026th prime number?
The 1026th prime number is 8171. The next prime is 8179 (a gap of 8) and the one before is 8167.
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 1026th one is 8171.
- 2
8171 is prime because no prime up to ā8171 ā 90.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1026th prime is close to 1026 Ć ln(1026) ā 7114, and here it is 8171.
- 4
8171 has no twin: neither 8169 nor 8173 is prime.
Primes around the 1026th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1023 | 8147 | 24 |
| 1024 | 8161 | 14 |
| 1025 | 8167 | 6 |
| 1026 | 8171 | 4 |
| 1027 | 8179 | 8 |
| 1028 | 8191 | 12 |
| 1029 | 8209 | 18 |
Questions
What is the 1026th prime number?
8171.
Which prime number is 8171?
8171 is the 1026th prime number.
What is the sum of the first 1026 primes?
3,892,271.