What is the 3432nd prime number?
The 3432nd prime number is 31991. The next prime is 32003 (a gap of 12) and the one before is 31981.
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 3432nd one is 31991.
- 2
31991 is prime because no prime up to ā31991 ā 178.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3432nd prime is close to 3432 Ć ln(3432) ā 27940, and here it is 31991.
- 4
31991 has no twin: neither 31989 nor 31993 is prime.
Primes around the 3432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3429 | 31963 | 6 |
| 3430 | 31973 | 10 |
| 3431 | 31981 | 8 |
| 3432 | 31991 | 10 |
| 3433 | 32003 | 12 |
| 3434 | 32009 | 6 |
| 3435 | 32027 | 18 |
Questions
What is the 3432nd prime number?
31991.
Which prime number is 31991?
31991 is the 3432nd prime number.
What is the sum of the first 3432 primes?
51,467,585.