What is the 2432nd prime number?
The 2432nd prime number is 21661. The next prime is 21673 (a gap of 12) and the one before is 21649.
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 2432nd one is 21661.
- 2
21661 is prime because no prime up to ā21661 ā 147.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2432nd prime is close to 2432 Ć ln(2432) ā 18961, and here it is 21661.
- 4
21661 has no twin: neither 21659 nor 21663 is prime.
Primes around the 2432nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2429 | 21617 | 4 |
| 2430 | 21647 | 30 |
| 2431 | 21649 | 2 |
| 2432 | 21661 | 12 |
| 2433 | 21673 | 12 |
| 2434 | 21683 | 10 |
| 2435 | 21701 | 18 |
Questions
What is the 2432nd prime number?
21661.
Which prime number is 21661?
21661 is the 2432nd prime number.
What is the sum of the first 2432 primes?
24,714,973.