What is the 6362nd prime number?
The 6362nd prime number is 63473. The next prime is 63487 (a gap of 14) and the one before is 63467.
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 6362nd one is 63473.
- 2
63473 is prime because no prime up to ā63473 ā 251.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6362nd prime is close to 6362 Ć ln(6362) ā 55719, and here it is 63473.
- 4
63473 has no twin: neither 63471 nor 63475 is prime.
Primes around the 6362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6359 | 63443 | 4 |
| 6360 | 63463 | 20 |
| 6361 | 63467 | 4 |
| 6362 | 63473 | 6 |
| 6363 | 63487 | 14 |
| 6364 | 63493 | 6 |
| 6365 | 63499 | 6 |
Questions
What is the 6362nd prime number?
63473.
Which prime number is 63473?
63473 is the 6362nd prime number.
What is the sum of the first 6362 primes?
190,681,671.