What is the 1065th prime number?
The 1065th prime number is 8539. The next prime is 8543 (a gap of 4) and the one before is 8537.
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 1065th one is 8539.
- 2
8539 is prime because no prime up to ā8539 ā 92.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1065th prime is close to 1065 Ć ln(1065) ā 7424, and here it is 8539.
- 4
8539 is a twin prime: 8537 and 8539 are both prime.
Primes around the 1065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1062 | 8521 | 8 |
| 1063 | 8527 | 6 |
| 1064 | 8537 | 10 |
| 1065 | 8539 | 2 |
| 1066 | 8543 | 4 |
| 1067 | 8563 | 20 |
| 1068 | 8573 | 10 |
Questions
What is the 1065th prime number?
8539.
Which prime number is 8539?
8539 is the 1065th prime number.
What is the sum of the first 1065 primes?
4,218,060.