What is the 1047th prime number?
The 1047th prime number is 8363. The next prime is 8369 (a gap of 6) and the one before is 8353.
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 1047th one is 8363.
- 2
8363 is prime because no prime up to ā8363 ā 91.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1047th prime is close to 1047 Ć ln(1047) ā 7281, and here it is 8363.
- 4
8363 has no twin: neither 8361 nor 8365 is prime.
Primes around the 1047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1044 | 8317 | 6 |
| 1045 | 8329 | 12 |
| 1046 | 8353 | 24 |
| 1047 | 8363 | 10 |
| 1048 | 8369 | 6 |
| 1049 | 8377 | 8 |
| 1050 | 8387 | 10 |
Questions
What is the 1047th prime number?
8363.
Which prime number is 8363?
8363 is the 1047th prime number.
What is the sum of the first 1047 primes?
4,065,880.