What is the 4088th prime number?
The 4088th prime number is 38791. The next prime is 38803 (a gap of 12) and the one before is 38783.
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 4088th one is 38791.
- 2
38791 is prime because no prime up to ā38791 ā 196.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4088th prime is close to 4088 Ć ln(4088) ā 33995, and here it is 38791.
- 4
38791 has no twin: neither 38789 nor 38793 is prime.
Primes around the 4088th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4085 | 38749 | 2 |
| 4086 | 38767 | 18 |
| 4087 | 38783 | 16 |
| 4088 | 38791 | 8 |
| 4089 | 38803 | 12 |
| 4090 | 38821 | 18 |
| 4091 | 38833 | 12 |
Questions
What is the 4088th prime number?
38791.
Which prime number is 38791?
38791 is the 4088th prime number.
What is the sum of the first 4088 primes?
74,639,799.