What is the 4127th prime number?
The 4127th prime number is 39199. The next prime is 39209 (a gap of 10) and the one before is 39191.
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 4127th one is 39199.
- 2
39199 is prime because no prime up to ā39199 ā 197.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4127th prime is close to 4127 Ć ln(4127) ā 34359, and here it is 39199.
- 4
39199 has no twin: neither 39197 nor 39201 is prime.
Primes around the 4127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4124 | 39163 | 2 |
| 4125 | 39181 | 18 |
| 4126 | 39191 | 10 |
| 4127 | 39199 | 8 |
| 4128 | 39209 | 10 |
| 4129 | 39217 | 8 |
| 4130 | 39227 | 10 |
Questions
What is the 4127th prime number?
39199.
Which prime number is 39199?
39199 is the 4127th prime number.
What is the sum of the first 4127 primes?
76,161,092.