What is the 4330th prime number?
The 4330th prime number is 41387. The next prime is 41389 (a gap of 2) and the one before is 41381.
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 4330th one is 41387.
- 2
41387 is prime because no prime up to ā41387 ā 203.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4330th prime is close to 4330 Ć ln(4330) ā 36256, and here it is 41387.
- 4
41387 is a twin prime: 41387 and 41389 are both prime.
Primes around the 4330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4327 | 41351 | 10 |
| 4328 | 41357 | 6 |
| 4329 | 41381 | 24 |
| 4330 | 41387 | 6 |
| 4331 | 41389 | 2 |
| 4332 | 41399 | 10 |
| 4333 | 41411 | 12 |
Questions
What is the 4330th prime number?
41387.
Which prime number is 41387?
41387 is the 4330th prime number.
What is the sum of the first 4330 primes?
84,341,621.