What is the 6326th prime number?
The 6326th prime number is 63079. The next prime is 63097 (a gap of 18) and the one before is 63073.
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 6326th one is 63079.
- 2
63079 is prime because no prime up to ā63079 ā 251.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6326th prime is close to 6326 Ć ln(6326) ā 55368, and here it is 63079.
- 4
63079 has no twin: neither 63077 nor 63081 is prime.
Primes around the 6326th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6323 | 63059 | 28 |
| 6324 | 63067 | 8 |
| 6325 | 63073 | 6 |
| 6326 | 63079 | 6 |
| 6327 | 63097 | 18 |
| 6328 | 63103 | 6 |
| 6329 | 63113 | 10 |
Questions
What is the 6326th prime number?
63079.
Which prime number is 63079?
63079 is the 6326th prime number.
What is the sum of the first 6326 primes?
188,402,695.