What is the 1067th prime number?
The 1067th prime number is 8563. The next prime is 8573 (a gap of 10) and the one before is 8543.
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 1067th one is 8563.
- 2
8563 is prime because no prime up to ā8563 ā 92.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1067th prime is close to 1067 Ć ln(1067) ā 7440, and here it is 8563.
- 4
8563 has no twin: neither 8561 nor 8565 is prime.
Primes around the 1067th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1064 | 8537 | 10 |
| 1065 | 8539 | 2 |
| 1066 | 8543 | 4 |
| 1067 | 8563 | 20 |
| 1068 | 8573 | 10 |
| 1069 | 8581 | 8 |
| 1070 | 8597 | 16 |
Questions
What is the 1067th prime number?
8563.
Which prime number is 8563?
8563 is the 1067th prime number.
What is the sum of the first 1067 primes?
4,235,166.