What is the 1053rd prime number?
The 1053rd prime number is 8423. The next prime is 8429 (a gap of 6) and the one before is 8419.
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 1053rd one is 8423.
- 2
8423 is prime because no prime up to ā8423 ā 91.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1053rd prime is close to 1053 Ć ln(1053) ā 7328, and here it is 8423.
- 4
8423 has no twin: neither 8421 nor 8425 is prime.
Primes around the 1053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1050 | 8387 | 10 |
| 1051 | 8389 | 2 |
| 1052 | 8419 | 30 |
| 1053 | 8423 | 4 |
| 1054 | 8429 | 6 |
| 1055 | 8431 | 2 |
| 1056 | 8443 | 12 |
Questions
What is the 1053rd prime number?
8423.
Which prime number is 8423?
8423 is the 1053rd prime number.
What is the sum of the first 1053 primes?
4,116,244.