What is the 4130th prime number?
The 4130th prime number is 39227. The next prime is 39229 (a gap of 2) and the one before is 39217.
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 4130th one is 39227.
- 2
39227 is prime because no prime up to ā39227 ā 198.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4130th prime is close to 4130 Ć ln(4130) ā 34387, and here it is 39227.
- 4
39227 is a twin prime: 39227 and 39229 are both prime.
Primes around the 4130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4127 | 39199 | 8 |
| 4128 | 39209 | 10 |
| 4129 | 39217 | 8 |
| 4130 | 39227 | 10 |
| 4131 | 39229 | 2 |
| 4132 | 39233 | 4 |
| 4133 | 39239 | 6 |
Questions
What is the 4130th prime number?
39227.
Which prime number is 39227?
39227 is the 4130th prime number.
What is the sum of the first 4130 primes?
76,278,745.