What is the 4428th prime number?
The 4428th prime number is 42359. The next prime is 42373 (a gap of 14) and the one before is 42349.
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 4428th one is 42359.
- 2
42359 is prime because no prime up to ā42359 ā 205.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4428th prime is close to 4428 Ć ln(4428) ā 37176, and here it is 42359.
- 4
42359 has no twin: neither 42357 nor 42361 is prime.
Primes around the 4428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4425 | 42331 | 8 |
| 4426 | 42337 | 6 |
| 4427 | 42349 | 12 |
| 4428 | 42359 | 10 |
| 4429 | 42373 | 14 |
| 4430 | 42379 | 6 |
| 4431 | 42391 | 12 |
Questions
What is the 4428th prime number?
42359.
Which prime number is 42359?
42359 is the 4428th prime number.
What is the sum of the first 4428 primes?
88,446,081.