What is the 4343rd prime number?
The 4343rd prime number is 41521. The next prime is 41539 (a gap of 18) and the one before is 41519.
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 4343rd one is 41521.
- 2
41521 is prime because no prime up to ā41521 ā 203.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4343rd prime is close to 4343 Ć ln(4343) ā 36378, and here it is 41521.
- 4
41521 is a twin prime: 41519 and 41521 are both prime.
Primes around the 4343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4340 | 41507 | 16 |
| 4341 | 41513 | 6 |
| 4342 | 41519 | 6 |
| 4343 | 41521 | 2 |
| 4344 | 41539 | 18 |
| 4345 | 41543 | 4 |
| 4346 | 41549 | 6 |
Questions
What is the 4343rd prime number?
41521.
Which prime number is 41521?
41521 is the 4343rd prime number.
What is the sum of the first 4343 primes?
84,880,626.