What is the 6325th prime number?
The 6325th prime number is 63073. The next prime is 63079 (a gap of 6) and the one before is 63067.
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 6325th one is 63073.
- 2
63073 is prime because no prime up to ā63073 ā 251.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6325th prime is close to 6325 Ć ln(6325) ā 55358, and here it is 63073.
- 4
63073 has no twin: neither 63071 nor 63075 is prime.
Primes around the 6325th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6322 | 63031 | 2 |
| 6323 | 63059 | 28 |
| 6324 | 63067 | 8 |
| 6325 | 63073 | 6 |
| 6326 | 63079 | 6 |
| 6327 | 63097 | 18 |
| 6328 | 63103 | 6 |
Questions
What is the 6325th prime number?
63073.
Which prime number is 63073?
63073 is the 6325th prime number.
What is the sum of the first 6325 primes?
188,339,616.