What is the 4126th prime number?
The 4126th prime number is 39191. The next prime is 39199 (a gap of 8) and the one before is 39181.
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 4126th one is 39191.
- 2
39191 is prime because no prime up to ā39191 ā 197.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4126th prime is close to 4126 Ć ln(4126) ā 34349, and here it is 39191.
- 4
39191 has no twin: neither 39189 nor 39193 is prime.
Primes around the 4126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4123 | 39161 | 4 |
| 4124 | 39163 | 2 |
| 4125 | 39181 | 18 |
| 4126 | 39191 | 10 |
| 4127 | 39199 | 8 |
| 4128 | 39209 | 10 |
| 4129 | 39217 | 8 |
Questions
What is the 4126th prime number?
39191.
Which prime number is 39191?
39191 is the 4126th prime number.
What is the sum of the first 4126 primes?
76,121,893.