What is the 4125th prime number?
The 4125th prime number is 39181. The next prime is 39191 (a gap of 10) and the one before is 39163.
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 4125th one is 39181.
- 2
39181 is prime because no prime up to ā39181 ā 197.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4125th prime is close to 4125 Ć ln(4125) ā 34340, and here it is 39181.
- 4
39181 has no twin: neither 39179 nor 39183 is prime.
Primes around the 4125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4122 | 39157 | 18 |
| 4123 | 39161 | 4 |
| 4124 | 39163 | 2 |
| 4125 | 39181 | 18 |
| 4126 | 39191 | 10 |
| 4127 | 39199 | 8 |
| 4128 | 39209 | 10 |
Questions
What is the 4125th prime number?
39181.
Which prime number is 39181?
39181 is the 4125th prime number.
What is the sum of the first 4125 primes?
76,082,702.