What is the 4142nd prime number?
The 4142nd prime number is 39343. The next prime is 39359 (a gap of 16) and the one before is 39341.
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 4142nd one is 39343.
- 2
39343 is prime because no prime up to ā39343 ā 198.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4142nd prime is close to 4142 Ć ln(4142) ā 34498, and here it is 39343.
- 4
39343 is a twin prime: 39341 and 39343 are both prime.
Primes around the 4142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4139 | 39317 | 4 |
| 4140 | 39323 | 6 |
| 4141 | 39341 | 18 |
| 4142 | 39343 | 2 |
| 4143 | 39359 | 16 |
| 4144 | 39367 | 8 |
| 4145 | 39371 | 4 |
Questions
What is the 4142nd prime number?
39343.
Which prime number is 39343?
39343 is the 4142nd prime number.
What is the sum of the first 4142 primes?
76,750,169.