What is the 4431st prime number?
The 4431st prime number is 42391. The next prime is 42397 (a gap of 6) and the one before is 42379.
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 4431st one is 42391.
- 2
42391 is prime because no prime up to ā42391 ā 205.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4431st prime is close to 4431 Ć ln(4431) ā 37204, and here it is 42391.
- 4
42391 has no twin: neither 42389 nor 42393 is prime.
Primes around the 4431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4428 | 42359 | 10 |
| 4429 | 42373 | 14 |
| 4430 | 42379 | 6 |
| 4431 | 42391 | 12 |
| 4432 | 42397 | 6 |
| 4433 | 42403 | 6 |
| 4434 | 42407 | 4 |
Questions
What is the 4431st prime number?
42391.
Which prime number is 42391?
42391 is the 4431st prime number.
What is the sum of the first 4431 primes?
88,573,224.