What is the 9048th prime number?
The 9048th prime number is 93761. The next prime is 93763 (a gap of 2) and the one before is 93739.
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 9048th one is 93761.
- 2
93761 is prime because no prime up to ā93761 ā 306.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9048th prime is close to 9048 Ć ln(9048) ā 82430, and here it is 93761.
- 4
93761 is a twin prime: 93761 and 93763 are both prime.
Primes around the 9048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9045 | 93703 | 2 |
| 9046 | 93719 | 16 |
| 9047 | 93739 | 20 |
| 9048 | 93761 | 22 |
| 9049 | 93763 | 2 |
| 9050 | 93787 | 24 |
| 9051 | 93809 | 22 |
Questions
What is the 9048th prime number?
93761.
Which prime number is 93761?
93761 is the 9048th prime number.
What is the sum of the first 9048 primes?
401,704,829.