What is the 4334th prime number?
The 4334th prime number is 41413. The next prime is 41443 (a gap of 30) and the one before is 41411.
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 4334th one is 41413.
- 2
41413 is prime because no prime up to ā41413 ā 203.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4334th prime is close to 4334 Ć ln(4334) ā 36294, and here it is 41413.
- 4
41413 is a twin prime: 41411 and 41413 are both prime.
Primes around the 4334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4331 | 41389 | 2 |
| 4332 | 41399 | 10 |
| 4333 | 41411 | 12 |
| 4334 | 41413 | 2 |
| 4335 | 41443 | 30 |
| 4336 | 41453 | 10 |
| 4337 | 41467 | 14 |
Questions
What is the 4334th prime number?
41413.
Which prime number is 41413?
41413 is the 4334th prime number.
What is the sum of the first 4334 primes?
84,507,233.