What is the 432nd prime number?
The 432nd prime number is 3011. The next prime is 3019 (a gap of 8) and the one before is 3001.
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 432nd one is 3011.
- 2
3011 is prime because no prime up to ā3011 ā 54.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 432nd prime is close to 432 Ć ln(432) ā 2622, and here it is 3011.
- 4
3011 has no twin: neither 3009 nor 3013 is prime.
Primes around the 432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 429 | 2971 | 2 |
| 430 | 2999 | 28 |
| 431 | 3001 | 2 |
| 432 | 3011 | 10 |
| 433 | 3019 | 8 |
| 434 | 3023 | 4 |
| 435 | 3037 | 14 |
Questions
What is the 432nd prime number?
3011.
Which prime number is 3011?
3011 is the 432nd prime number.
What is the sum of the first 432 primes?
599,835.