What is the 4087th prime number?
The 4087th prime number is 38783. The next prime is 38791 (a gap of 8) and the one before is 38767.
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 4087th one is 38783.
- 2
38783 is prime because no prime up to ā38783 ā 196.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4087th prime is close to 4087 Ć ln(4087) ā 33986, and here it is 38783.
- 4
38783 has no twin: neither 38781 nor 38785 is prime.
Primes around the 4087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4084 | 38747 | 10 |
| 4085 | 38749 | 2 |
| 4086 | 38767 | 18 |
| 4087 | 38783 | 16 |
| 4088 | 38791 | 8 |
| 4089 | 38803 | 12 |
| 4090 | 38821 | 18 |
Questions
What is the 4087th prime number?
38783.
Which prime number is 38783?
38783 is the 4087th prime number.
What is the sum of the first 4087 primes?
74,601,008.