What is the 4143rd prime number?
The 4143rd prime number is 39359. The next prime is 39367 (a gap of 8) and the one before is 39343.
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 4143rd one is 39359.
- 2
39359 is prime because no prime up to ā39359 ā 198.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4143rd prime is close to 4143 Ć ln(4143) ā 34508, and here it is 39359.
- 4
39359 has no twin: neither 39357 nor 39361 is prime.
Primes around the 4143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4140 | 39323 | 6 |
| 4141 | 39341 | 18 |
| 4142 | 39343 | 2 |
| 4143 | 39359 | 16 |
| 4144 | 39367 | 8 |
| 4145 | 39371 | 4 |
| 4146 | 39373 | 2 |
Questions
What is the 4143rd prime number?
39359.
Which prime number is 39359?
39359 is the 4143rd prime number.
What is the sum of the first 4143 primes?
76,789,528.