What is the 1028th prime number?
The 1028th prime number is 8191. The next prime is 8209 (a gap of 18) and the one before is 8179.
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 1028th one is 8191.
- 2
8191 is prime because no prime up to ā8191 ā 90.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1028th prime is close to 1028 Ć ln(1028) ā 7130, and here it is 8191.
- 4
8191 has no twin: neither 8189 nor 8193 is prime.
Primes around the 1028th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1025 | 8167 | 6 |
| 1026 | 8171 | 4 |
| 1027 | 8179 | 8 |
| 1028 | 8191 | 12 |
| 1029 | 8209 | 18 |
| 1030 | 8219 | 10 |
| 1031 | 8221 | 2 |
Questions
What is the 1028th prime number?
8191.
Which prime number is 8191?
8191 is the 1028th prime number.
What is the sum of the first 1028 primes?
3,908,641.