What is the 4338th prime number?
The 4338th prime number is 41479. The next prime is 41491 (a gap of 12) and the one before is 41467.
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 4338th one is 41479.
- 2
41479 is prime because no prime up to ā41479 ā 203.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4338th prime is close to 4338 Ć ln(4338) ā 36331, and here it is 41479.
- 4
41479 has no twin: neither 41477 nor 41481 is prime.
Primes around the 4338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4335 | 41443 | 30 |
| 4336 | 41453 | 10 |
| 4337 | 41467 | 14 |
| 4338 | 41479 | 12 |
| 4339 | 41491 | 12 |
| 4340 | 41507 | 16 |
| 4341 | 41513 | 6 |
Questions
What is the 4338th prime number?
41479.
Which prime number is 41479?
41479 is the 4338th prime number.
What is the sum of the first 4338 primes?
84,673,075.