What is the 4131st prime number?
The 4131st prime number is 39229. The next prime is 39233 (a gap of 4) and the one before is 39227.
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 4131st one is 39229.
- 2
39229 is prime because no prime up to ā39229 ā 198.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4131st prime is close to 4131 Ć ln(4131) ā 34396, and here it is 39229.
- 4
39229 is a twin prime: 39227 and 39229 are both prime.
Primes around the 4131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4128 | 39209 | 10 |
| 4129 | 39217 | 8 |
| 4130 | 39227 | 10 |
| 4131 | 39229 | 2 |
| 4132 | 39233 | 4 |
| 4133 | 39239 | 6 |
| 4134 | 39241 | 2 |
Questions
What is the 4131st prime number?
39229.
Which prime number is 39229?
39229 is the 4131st prime number.
What is the sum of the first 4131 primes?
76,317,974.