What is the 4086th prime number?
The 4086th prime number is 38767. The next prime is 38783 (a gap of 16) and the one before is 38749.
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 4086th one is 38767.
- 2
38767 is prime because no prime up to ā38767 ā 196.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4086th prime is close to 4086 Ć ln(4086) ā 33976, and here it is 38767.
- 4
38767 has no twin: neither 38765 nor 38769 is prime.
Primes around the 4086th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4083 | 38737 | 8 |
| 4084 | 38747 | 10 |
| 4085 | 38749 | 2 |
| 4086 | 38767 | 18 |
| 4087 | 38783 | 16 |
| 4088 | 38791 | 8 |
| 4089 | 38803 | 12 |
Questions
What is the 4086th prime number?
38767.
Which prime number is 38767?
38767 is the 4086th prime number.
What is the sum of the first 4086 primes?
74,562,225.