What is the 6323rd prime number?
The 6323rd prime number is 63059. The next prime is 63067 (a gap of 8) and the one before is 63031.
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 6323rd one is 63059.
- 2
63059 is prime because no prime up to ā63059 ā 251.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6323rd prime is close to 6323 Ć ln(6323) ā 55339, and here it is 63059.
- 4
63059 has no twin: neither 63057 nor 63061 is prime.
Primes around the 6323rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6320 | 62989 | 2 |
| 6321 | 63029 | 40 |
| 6322 | 63031 | 2 |
| 6323 | 63059 | 28 |
| 6324 | 63067 | 8 |
| 6325 | 63073 | 6 |
| 6326 | 63079 | 6 |
Questions
What is the 6323rd prime number?
63059.
Which prime number is 63059?
63059 is the 6323rd prime number.
What is the sum of the first 6323 primes?
188,213,476.