What is the 1046th prime number?
The 1046th prime number is 8353. The next prime is 8363 (a gap of 10) and the one before is 8329.
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 1046th one is 8353.
- 2
8353 is prime because no prime up to ā8353 ā 91.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1046th prime is close to 1046 Ć ln(1046) ā 7273, and here it is 8353.
- 4
8353 has no twin: neither 8351 nor 8355 is prime.
Primes around the 1046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1043 | 8311 | 14 |
| 1044 | 8317 | 6 |
| 1045 | 8329 | 12 |
| 1046 | 8353 | 24 |
| 1047 | 8363 | 10 |
| 1048 | 8369 | 6 |
| 1049 | 8377 | 8 |
Questions
What is the 1046th prime number?
8353.
Which prime number is 8353?
8353 is the 1046th prime number.
What is the sum of the first 1046 primes?
4,057,517.