What is the 1048th prime number?
The 1048th prime number is 8369. The next prime is 8377 (a gap of 8) and the one before is 8363.
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 1048th one is 8369.
- 2
8369 is prime because no prime up to ā8369 ā 91.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1048th prime is close to 1048 Ć ln(1048) ā 7288, and here it is 8369.
- 4
8369 has no twin: neither 8367 nor 8371 is prime.
Primes around the 1048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1045 | 8329 | 12 |
| 1046 | 8353 | 24 |
| 1047 | 8363 | 10 |
| 1048 | 8369 | 6 |
| 1049 | 8377 | 8 |
| 1050 | 8387 | 10 |
| 1051 | 8389 | 2 |
Questions
What is the 1048th prime number?
8369.
Which prime number is 8369?
8369 is the 1048th prime number.
What is the sum of the first 1048 primes?
4,074,249.