What is the 4339th prime number?
The 4339th prime number is 41491. The next prime is 41507 (a gap of 16) and the one before is 41479.
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 4339th one is 41491.
- 2
41491 is prime because no prime up to ā41491 ā 203.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4339th prime is close to 4339 Ć ln(4339) ā 36341, and here it is 41491.
- 4
41491 has no twin: neither 41489 nor 41493 is prime.
Primes around the 4339th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4336 | 41453 | 10 |
| 4337 | 41467 | 14 |
| 4338 | 41479 | 12 |
| 4339 | 41491 | 12 |
| 4340 | 41507 | 16 |
| 4341 | 41513 | 6 |
| 4342 | 41519 | 6 |
Questions
What is the 4339th prime number?
41491.
Which prime number is 41491?
41491 is the 4339th prime number.
What is the sum of the first 4339 primes?
84,714,566.