What is the 1068th prime number?
The 1068th prime number is 8573. The next prime is 8581 (a gap of 8) and the one before is 8563.
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 1068th one is 8573.
- 2
8573 is prime because no prime up to ā8573 ā 92.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1068th prime is close to 1068 Ć ln(1068) ā 7448, and here it is 8573.
- 4
8573 has no twin: neither 8571 nor 8575 is prime.
Primes around the 1068th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1065 | 8539 | 2 |
| 1066 | 8543 | 4 |
| 1067 | 8563 | 20 |
| 1068 | 8573 | 10 |
| 1069 | 8581 | 8 |
| 1070 | 8597 | 16 |
| 1071 | 8599 | 2 |
Questions
What is the 1068th prime number?
8573.
Which prime number is 8573?
8573 is the 1068th prime number.
What is the sum of the first 1068 primes?
4,243,739.