What is the 1075th prime number?
The 1075th prime number is 8629. The next prime is 8641 (a gap of 12) and the one before is 8627.
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 1075th one is 8629.
- 2
8629 is prime because no prime up to ā8629 ā 92.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1075th prime is close to 1075 Ć ln(1075) ā 7504, and here it is 8629.
- 4
8629 is a twin prime: 8627 and 8629 are both prime.
Primes around the 1075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1072 | 8609 | 10 |
| 1073 | 8623 | 14 |
| 1074 | 8627 | 4 |
| 1075 | 8629 | 2 |
| 1076 | 8641 | 12 |
| 1077 | 8647 | 6 |
| 1078 | 8663 | 16 |
Questions
What is the 1075th prime number?
8629.
Which prime number is 8629?
8629 is the 1075th prime number.
What is the sum of the first 1075 primes?
4,304,004.