What is the 6299th prime number?
The 6299th prime number is 62761. The next prime is 62773 (a gap of 12) and the one before is 62753.
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 6299th one is 62761.
- 2
62761 is prime because no prime up to ā62761 ā 250.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6299th prime is close to 6299 Ć ln(6299) ā 55105, and here it is 62761.
- 4
62761 has no twin: neither 62759 nor 62763 is prime.
Primes around the 6299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6296 | 62731 | 8 |
| 6297 | 62743 | 12 |
| 6298 | 62753 | 10 |
| 6299 | 62761 | 8 |
| 6300 | 62773 | 12 |
| 6301 | 62791 | 18 |
| 6302 | 62801 | 10 |
Questions
What is the 6299th prime number?
62761.
Which prime number is 62761?
62761 is the 6299th prime number.
What is the sum of the first 6299 primes?
186,703,496.