What is the 1029th prime number?
The 1029th prime number is 8209. The next prime is 8219 (a gap of 10) and the one before is 8191.
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 1029th one is 8209.
- 2
8209 is prime because no prime up to ā8209 ā 90.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1029th prime is close to 1029 Ć ln(1029) ā 7137, and here it is 8209.
- 4
8209 has no twin: neither 8207 nor 8211 is prime.
Primes around the 1029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1026 | 8171 | 4 |
| 1027 | 8179 | 8 |
| 1028 | 8191 | 12 |
| 1029 | 8209 | 18 |
| 1030 | 8219 | 10 |
| 1031 | 8221 | 2 |
| 1032 | 8231 | 10 |
Questions
What is the 1029th prime number?
8209.
Which prime number is 8209?
8209 is the 1029th prime number.
What is the sum of the first 1029 primes?
3,916,850.