What is the 1071st prime number?
The 1071st prime number is 8599. The next prime is 8609 (a gap of 10) and the one before is 8597.
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 1071st one is 8599.
- 2
8599 is prime because no prime up to ā8599 ā 92.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1071st prime is close to 1071 Ć ln(1071) ā 7472, and here it is 8599.
- 4
8599 is a twin prime: 8597 and 8599 are both prime.
Primes around the 1071st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1068 | 8573 | 10 |
| 1069 | 8581 | 8 |
| 1070 | 8597 | 16 |
| 1071 | 8599 | 2 |
| 1072 | 8609 | 10 |
| 1073 | 8623 | 14 |
| 1074 | 8627 | 4 |
Questions
What is the 1071st prime number?
8599.
Which prime number is 8599?
8599 is the 1071st prime number.
What is the sum of the first 1071 primes?
4,269,516.