What is the 9051st prime number?
The 9051st prime number is 93809. The next prime is 93811 (a gap of 2) and the one before is 93787.
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 9051st one is 93809.
- 2
93809 is prime because no prime up to ā93809 ā 306.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9051st prime is close to 9051 Ć ln(9051) ā 82460, and here it is 93809.
- 4
93809 is a twin prime: 93809 and 93811 are both prime.
Primes around the 9051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9048 | 93761 | 22 |
| 9049 | 93763 | 2 |
| 9050 | 93787 | 24 |
| 9051 | 93809 | 22 |
| 9052 | 93811 | 2 |
| 9053 | 93827 | 16 |
| 9054 | 93851 | 24 |
Questions
What is the 9051st prime number?
93809.
Which prime number is 93809?
93809 is the 9051st prime number.
What is the sum of the first 9051 primes?
401,986,188.