What is the 4430th prime number?
The 4430th prime number is 42379. The next prime is 42391 (a gap of 12) and the one before is 42373.
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 4430th one is 42379.
- 2
42379 is prime because no prime up to ā42379 ā 205.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4430th prime is close to 4430 Ć ln(4430) ā 37195, and here it is 42379.
- 4
42379 has no twin: neither 42377 nor 42381 is prime.
Primes around the 4430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4427 | 42349 | 12 |
| 4428 | 42359 | 10 |
| 4429 | 42373 | 14 |
| 4430 | 42379 | 6 |
| 4431 | 42391 | 12 |
| 4432 | 42397 | 6 |
| 4433 | 42403 | 6 |
Questions
What is the 4430th prime number?
42379.
Which prime number is 42379?
42379 is the 4430th prime number.
What is the sum of the first 4430 primes?
88,530,833.