What is the 2452nd prime number?
The 2452nd prime number is 21859. The next prime is 21863 (a gap of 4) and the one before is 21851.
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 2452nd one is 21859.
- 2
21859 is prime because no prime up to ā21859 ā 147.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2452nd prime is close to 2452 Ć ln(2452) ā 19137, and here it is 21859.
- 4
21859 has no twin: neither 21857 nor 21861 is prime.
Primes around the 2452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2449 | 21839 | 18 |
| 2450 | 21841 | 2 |
| 2451 | 21851 | 10 |
| 2452 | 21859 | 8 |
| 2453 | 21863 | 4 |
| 2454 | 21871 | 8 |
| 2455 | 21881 | 10 |
Questions
What is the 2452nd prime number?
21859.
Which prime number is 21859?
21859 is the 2452nd prime number.
What is the sum of the first 2452 primes?
25,150,411.