What is the 4166th prime number?
The 4166th prime number is 39619. The next prime is 39623 (a gap of 4) and the one before is 39607.
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 4166th one is 39619.
- 2
39619 is prime because no prime up to ā39619 ā 199.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4166th prime is close to 4166 Ć ln(4166) ā 34722, and here it is 39619.
- 4
39619 has no twin: neither 39617 nor 39621 is prime.
Primes around the 4166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4163 | 39569 | 6 |
| 4164 | 39581 | 12 |
| 4165 | 39607 | 26 |
| 4166 | 39619 | 12 |
| 4167 | 39623 | 4 |
| 4168 | 39631 | 8 |
| 4169 | 39659 | 28 |
Questions
What is the 4166th prime number?
39619.
Which prime number is 39619?
39619 is the 4166th prime number.
What is the sum of the first 4166 primes?
77,697,615.