What is the 6452nd prime number?
The 6452nd prime number is 64489. The next prime is 64499 (a gap of 10) and the one before is 64483.
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 6452nd one is 64489.
- 2
64489 is prime because no prime up to ā64489 ā 253.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6452nd prime is close to 6452 Ć ln(6452) ā 56598, and here it is 64489.
- 4
64489 has no twin: neither 64487 nor 64491 is prime.
Primes around the 6452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6449 | 64451 | 12 |
| 6450 | 64453 | 2 |
| 6451 | 64483 | 30 |
| 6452 | 64489 | 6 |
| 6453 | 64499 | 10 |
| 6454 | 64513 | 14 |
| 6455 | 64553 | 40 |
Questions
What is the 6452nd prime number?
64489.
Which prime number is 64489?
64489 is the 6452nd prime number.
What is the sum of the first 6452 primes?
196,436,403.