What is the 6363rd prime number?
The 6363rd prime number is 63487. The next prime is 63493 (a gap of 6) and the one before is 63473.
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 6363rd one is 63487.
- 2
63487 is prime because no prime up to ā63487 ā 251.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6363rd prime is close to 6363 Ć ln(6363) ā 55729, and here it is 63487.
- 4
63487 has no twin: neither 63485 nor 63489 is prime.
Primes around the 6363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6360 | 63463 | 20 |
| 6361 | 63467 | 4 |
| 6362 | 63473 | 6 |
| 6363 | 63487 | 14 |
| 6364 | 63493 | 6 |
| 6365 | 63499 | 6 |
| 6366 | 63521 | 22 |
Questions
What is the 6363rd prime number?
63487.
Which prime number is 63487?
63487 is the 6363rd prime number.
What is the sum of the first 6363 primes?
190,745,158.