What is the 4331st prime number?
The 4331st prime number is 41389. The next prime is 41399 (a gap of 10) and the one before is 41387.
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 4331st one is 41389.
- 2
41389 is prime because no prime up to ā41389 ā 203.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4331st prime is close to 4331 Ć ln(4331) ā 36266, and here it is 41389.
- 4
41389 is a twin prime: 41387 and 41389 are both prime.
Primes around the 4331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4328 | 41357 | 6 |
| 4329 | 41381 | 24 |
| 4330 | 41387 | 6 |
| 4331 | 41389 | 2 |
| 4332 | 41399 | 10 |
| 4333 | 41411 | 12 |
| 4334 | 41413 | 2 |
Questions
What is the 4331st prime number?
41389.
Which prime number is 41389?
41389 is the 4331st prime number.
What is the sum of the first 4331 primes?
84,383,010.