What is the 1064th prime number?
The 1064th prime number is 8537. The next prime is 8539 (a gap of 2) and the one before is 8527.
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 1064th one is 8537.
- 2
8537 is prime because no prime up to ā8537 ā 92.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1064th prime is close to 1064 Ć ln(1064) ā 7416, and here it is 8537.
- 4
8537 is a twin prime: 8537 and 8539 are both prime.
Primes around the 1064th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1061 | 8513 | 12 |
| 1062 | 8521 | 8 |
| 1063 | 8527 | 6 |
| 1064 | 8537 | 10 |
| 1065 | 8539 | 2 |
| 1066 | 8543 | 4 |
| 1067 | 8563 | 20 |
Questions
What is the 1064th prime number?
8537.
Which prime number is 8537?
8537 is the 1064th prime number.
What is the sum of the first 1064 primes?
4,209,521.