What is the 1030th prime number?
The 1030th prime number is 8219. The next prime is 8221 (a gap of 2) and the one before is 8209.
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 1030th one is 8219.
- 2
8219 is prime because no prime up to ā8219 ā 90.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1030th prime is close to 1030 Ć ln(1030) ā 7145, and here it is 8219.
- 4
8219 is a twin prime: 8219 and 8221 are both prime.
Primes around the 1030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1027 | 8179 | 8 |
| 1028 | 8191 | 12 |
| 1029 | 8209 | 18 |
| 1030 | 8219 | 10 |
| 1031 | 8221 | 2 |
| 1032 | 8231 | 10 |
| 1033 | 8233 | 2 |
Questions
What is the 1030th prime number?
8219.
Which prime number is 8219?
8219 is the 1030th prime number.
What is the sum of the first 1030 primes?
3,925,069.