What is the 1055th prime number?
The 1055th prime number is 8431. The next prime is 8443 (a gap of 12) and the one before is 8429.
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 1055th one is 8431.
- 2
8431 is prime because no prime up to ā8431 ā 91.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1055th prime is close to 1055 Ć ln(1055) ā 7344, and here it is 8431.
- 4
8431 is a twin prime: 8429 and 8431 are both prime.
Primes around the 1055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1052 | 8419 | 30 |
| 1053 | 8423 | 4 |
| 1054 | 8429 | 6 |
| 1055 | 8431 | 2 |
| 1056 | 8443 | 12 |
| 1057 | 8447 | 4 |
| 1058 | 8461 | 14 |
Questions
What is the 1055th prime number?
8431.
Which prime number is 8431?
8431 is the 1055th prime number.
What is the sum of the first 1055 primes?
4,133,104.