What is the 1054th prime number?
The 1054th prime number is 8429. The next prime is 8431 (a gap of 2) and the one before is 8423.
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 1054th one is 8429.
- 2
8429 is prime because no prime up to ā8429 ā 91.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1054th prime is close to 1054 Ć ln(1054) ā 7336, and here it is 8429.
- 4
8429 is a twin prime: 8429 and 8431 are both prime.
Primes around the 1054th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1051 | 8389 | 2 |
| 1052 | 8419 | 30 |
| 1053 | 8423 | 4 |
| 1054 | 8429 | 6 |
| 1055 | 8431 | 2 |
| 1056 | 8443 | 12 |
| 1057 | 8447 | 4 |
Questions
What is the 1054th prime number?
8429.
Which prime number is 8429?
8429 is the 1054th prime number.
What is the sum of the first 1054 primes?
4,124,673.