What is the 4332nd prime number?
The 4332nd prime number is 41399. The next prime is 41411 (a gap of 12) and the one before is 41389.
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 4332nd one is 41399.
- 2
41399 is prime because no prime up to ā41399 ā 203.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4332nd prime is close to 4332 Ć ln(4332) ā 36275, and here it is 41399.
- 4
41399 has no twin: neither 41397 nor 41401 is prime.
Primes around the 4332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4329 | 41381 | 24 |
| 4330 | 41387 | 6 |
| 4331 | 41389 | 2 |
| 4332 | 41399 | 10 |
| 4333 | 41411 | 12 |
| 4334 | 41413 | 2 |
| 4335 | 41443 | 30 |
Questions
What is the 4332nd prime number?
41399.
Which prime number is 41399?
41399 is the 4332nd prime number.
What is the sum of the first 4332 primes?
84,424,409.