What is the 1070th prime number?
The 1070th prime number is 8597. The next prime is 8599 (a gap of 2) and the one before is 8581.
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 1070th one is 8597.
- 2
8597 is prime because no prime up to ā8597 ā 92.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1070th prime is close to 1070 Ć ln(1070) ā 7464, and here it is 8597.
- 4
8597 is a twin prime: 8597 and 8599 are both prime.
Primes around the 1070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1067 | 8563 | 20 |
| 1068 | 8573 | 10 |
| 1069 | 8581 | 8 |
| 1070 | 8597 | 16 |
| 1071 | 8599 | 2 |
| 1072 | 8609 | 10 |
| 1073 | 8623 | 14 |
Questions
What is the 1070th prime number?
8597.
Which prime number is 8597?
8597 is the 1070th prime number.
What is the sum of the first 1070 primes?
4,260,917.