What is the 9049th prime number?
The 9049th prime number is 93763. The next prime is 93787 (a gap of 24) and the one before is 93761.
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 9049th one is 93763.
- 2
93763 is prime because no prime up to ā93763 ā 306.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9049th prime is close to 9049 Ć ln(9049) ā 82440, and here it is 93763.
- 4
93763 is a twin prime: 93761 and 93763 are both prime.
Primes around the 9049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9046 | 93719 | 16 |
| 9047 | 93739 | 20 |
| 9048 | 93761 | 22 |
| 9049 | 93763 | 2 |
| 9050 | 93787 | 24 |
| 9051 | 93809 | 22 |
| 9052 | 93811 | 2 |
Questions
What is the 9049th prime number?
93763.
Which prime number is 93763?
93763 is the 9049th prime number.
What is the sum of the first 9049 primes?
401,798,592.