What is the 4124th prime number?
The 4124th prime number is 39163. The next prime is 39181 (a gap of 18) and the one before is 39161.
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 4124th one is 39163.
- 2
39163 is prime because no prime up to ā39163 ā 197.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4124th prime is close to 4124 Ć ln(4124) ā 34331, and here it is 39163.
- 4
39163 is a twin prime: 39161 and 39163 are both prime.
Primes around the 4124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4121 | 39139 | 6 |
| 4122 | 39157 | 18 |
| 4123 | 39161 | 4 |
| 4124 | 39163 | 2 |
| 4125 | 39181 | 18 |
| 4126 | 39191 | 10 |
| 4127 | 39199 | 8 |
Questions
What is the 4124th prime number?
39163.
Which prime number is 39163?
39163 is the 4124th prime number.
What is the sum of the first 4124 primes?
76,043,521.