What is the 4089th prime number?
The 4089th prime number is 38803. The next prime is 38821 (a gap of 18) and the one before is 38791.
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 4089th one is 38803.
- 2
38803 is prime because no prime up to ā38803 ā 196.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4089th prime is close to 4089 Ć ln(4089) ā 34004, and here it is 38803.
- 4
38803 has no twin: neither 38801 nor 38805 is prime.
Primes around the 4089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4086 | 38767 | 18 |
| 4087 | 38783 | 16 |
| 4088 | 38791 | 8 |
| 4089 | 38803 | 12 |
| 4090 | 38821 | 18 |
| 4091 | 38833 | 12 |
| 4092 | 38839 | 6 |
Questions
What is the 4089th prime number?
38803.
Which prime number is 38803?
38803 is the 4089th prime number.
What is the sum of the first 4089 primes?
74,678,602.