What is the 4140th prime number?
The 4140th prime number is 39323. The next prime is 39341 (a gap of 18) and the one before is 39317.
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 4140th one is 39323.
- 2
39323 is prime because no prime up to ā39323 ā 198.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4140th prime is close to 4140 Ć ln(4140) ā 34480, and here it is 39323.
- 4
39323 has no twin: neither 39321 nor 39325 is prime.
Primes around the 4140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4137 | 39301 | 8 |
| 4138 | 39313 | 12 |
| 4139 | 39317 | 4 |
| 4140 | 39323 | 6 |
| 4141 | 39341 | 18 |
| 4142 | 39343 | 2 |
| 4143 | 39359 | 16 |
Questions
What is the 4140th prime number?
39323.
Which prime number is 39323?
39323 is the 4140th prime number.
What is the sum of the first 4140 primes?
76,671,485.