What is the 4427th prime number?
The 4427th prime number is 42349. The next prime is 42359 (a gap of 10) and the one before is 42337.
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 4427th one is 42349.
- 2
42349 is prime because no prime up to ā42349 ā 205.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4427th prime is close to 4427 Ć ln(4427) ā 37167, and here it is 42349.
- 4
42349 has no twin: neither 42347 nor 42351 is prime.
Primes around the 4427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4424 | 42323 | 16 |
| 4425 | 42331 | 8 |
| 4426 | 42337 | 6 |
| 4427 | 42349 | 12 |
| 4428 | 42359 | 10 |
| 4429 | 42373 | 14 |
| 4430 | 42379 | 6 |
Questions
What is the 4427th prime number?
42349.
Which prime number is 42349?
42349 is the 4427th prime number.
What is the sum of the first 4427 primes?
88,403,722.