What is the 4341st prime number?
The 4341st prime number is 41513. The next prime is 41519 (a gap of 6) and the one before is 41507.
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 4341st one is 41513.
- 2
41513 is prime because no prime up to ā41513 ā 203.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4341st prime is close to 4341 Ć ln(4341) ā 36360, and here it is 41513.
- 4
41513 has no twin: neither 41511 nor 41515 is prime.
Primes around the 4341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4338 | 41479 | 12 |
| 4339 | 41491 | 12 |
| 4340 | 41507 | 16 |
| 4341 | 41513 | 6 |
| 4342 | 41519 | 6 |
| 4343 | 41521 | 2 |
| 4344 | 41539 | 18 |
Questions
What is the 4341st prime number?
41513.
Which prime number is 41513?
41513 is the 4341st prime number.
What is the sum of the first 4341 primes?
84,797,586.