What is the 4167th prime number?
The 4167th prime number is 39623. The next prime is 39631 (a gap of 8) and the one before is 39619.
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 4167th one is 39623.
- 2
39623 is prime because no prime up to ā39623 ā 199.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4167th prime is close to 4167 Ć ln(4167) ā 34732, and here it is 39623.
- 4
39623 has no twin: neither 39621 nor 39625 is prime.
Primes around the 4167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4164 | 39581 | 12 |
| 4165 | 39607 | 26 |
| 4166 | 39619 | 12 |
| 4167 | 39623 | 4 |
| 4168 | 39631 | 8 |
| 4169 | 39659 | 28 |
| 4170 | 39667 | 8 |
Questions
What is the 4167th prime number?
39623.
Which prime number is 39623?
39623 is the 4167th prime number.
What is the sum of the first 4167 primes?
77,737,238.