What is the 4168th prime number?
The 4168th prime number is 39631. The next prime is 39659 (a gap of 28) and the one before is 39623.
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 4168th one is 39631.
- 2
39631 is prime because no prime up to ā39631 ā 199.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4168th prime is close to 4168 Ć ln(4168) ā 34741, and here it is 39631.
- 4
39631 has no twin: neither 39629 nor 39633 is prime.
Primes around the 4168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4165 | 39607 | 26 |
| 4166 | 39619 | 12 |
| 4167 | 39623 | 4 |
| 4168 | 39631 | 8 |
| 4169 | 39659 | 28 |
| 4170 | 39667 | 8 |
| 4171 | 39671 | 4 |
Questions
What is the 4168th prime number?
39631.
Which prime number is 39631?
39631 is the 4168th prime number.
What is the sum of the first 4168 primes?
77,776,869.