What is the 4333rd prime number?
The 4333rd prime number is 41411. The next prime is 41413 (a gap of 2) and the one before is 41399.
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 4333rd one is 41411.
- 2
41411 is prime because no prime up to ā41411 ā 203.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4333rd prime is close to 4333 Ć ln(4333) ā 36285, and here it is 41411.
- 4
41411 is a twin prime: 41411 and 41413 are both prime.
Primes around the 4333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4330 | 41387 | 6 |
| 4331 | 41389 | 2 |
| 4332 | 41399 | 10 |
| 4333 | 41411 | 12 |
| 4334 | 41413 | 2 |
| 4335 | 41443 | 30 |
| 4336 | 41453 | 10 |
Questions
What is the 4333rd prime number?
41411.
Which prime number is 41411?
41411 is the 4333rd prime number.
What is the sum of the first 4333 primes?
84,465,820.