What is the 4090th prime number?
The 4090th prime number is 38821. The next prime is 38833 (a gap of 12) and the one before is 38803.
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 4090th one is 38821.
- 2
38821 is prime because no prime up to ā38821 ā 197.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4090th prime is close to 4090 Ć ln(4090) ā 34014, and here it is 38821.
- 4
38821 has no twin: neither 38819 nor 38823 is prime.
Primes around the 4090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4087 | 38783 | 16 |
| 4088 | 38791 | 8 |
| 4089 | 38803 | 12 |
| 4090 | 38821 | 18 |
| 4091 | 38833 | 12 |
| 4092 | 38839 | 6 |
| 4093 | 38851 | 12 |
Questions
What is the 4090th prime number?
38821.
Which prime number is 38821?
38821 is the 4090th prime number.
What is the sum of the first 4090 primes?
74,717,423.