What is the 1069th prime number?
The 1069th prime number is 8581. The next prime is 8597 (a gap of 16) and the one before is 8573.
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 1069th one is 8581.
- 2
8581 is prime because no prime up to ā8581 ā 92.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1069th prime is close to 1069 Ć ln(1069) ā 7456, and here it is 8581.
- 4
8581 has no twin: neither 8579 nor 8583 is prime.
Primes around the 1069th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1066 | 8543 | 4 |
| 1067 | 8563 | 20 |
| 1068 | 8573 | 10 |
| 1069 | 8581 | 8 |
| 1070 | 8597 | 16 |
| 1071 | 8599 | 2 |
| 1072 | 8609 | 10 |
Questions
What is the 1069th prime number?
8581.
Which prime number is 8581?
8581 is the 1069th prime number.
What is the sum of the first 1069 primes?
4,252,320.