What is the 4432nd prime number?
The 4432nd prime number is 42397. The next prime is 42403 (a gap of 6) and the one before is 42391.
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 4432nd one is 42397.
- 2
42397 is prime because no prime up to ā42397 ā 205.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4432nd prime is close to 4432 Ć ln(4432) ā 37214, and here it is 42397.
- 4
42397 has no twin: neither 42395 nor 42399 is prime.
Primes around the 4432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4429 | 42373 | 14 |
| 4430 | 42379 | 6 |
| 4431 | 42391 | 12 |
| 4432 | 42397 | 6 |
| 4433 | 42403 | 6 |
| 4434 | 42407 | 4 |
| 4435 | 42409 | 2 |
Questions
What is the 4432nd prime number?
42397.
Which prime number is 42397?
42397 is the 4432nd prime number.
What is the sum of the first 4432 primes?
88,615,621.