What is the 4429th prime number?
The 4429th prime number is 42373. The next prime is 42379 (a gap of 6) and the one before is 42359.
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 4429th one is 42373.
- 2
42373 is prime because no prime up to ā42373 ā 205.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4429th prime is close to 4429 Ć ln(4429) ā 37186, and here it is 42373.
- 4
42373 has no twin: neither 42371 nor 42375 is prime.
Primes around the 4429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4426 | 42337 | 6 |
| 4427 | 42349 | 12 |
| 4428 | 42359 | 10 |
| 4429 | 42373 | 14 |
| 4430 | 42379 | 6 |
| 4431 | 42391 | 12 |
| 4432 | 42397 | 6 |
Questions
What is the 4429th prime number?
42373.
Which prime number is 42373?
42373 is the 4429th prime number.
What is the sum of the first 4429 primes?
88,488,454.