What is the 6296th prime number?
The 6296th prime number is 62731. The next prime is 62743 (a gap of 12) and the one before is 62723.
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 6296th one is 62731.
- 2
62731 is prime because no prime up to ā62731 ā 250.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6296th prime is close to 6296 Ć ln(6296) ā 55075, and here it is 62731.
- 4
62731 has no twin: neither 62729 nor 62733 is prime.
Primes around the 6296th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6293 | 62687 | 4 |
| 6294 | 62701 | 14 |
| 6295 | 62723 | 22 |
| 6296 | 62731 | 8 |
| 6297 | 62743 | 12 |
| 6298 | 62753 | 10 |
| 6299 | 62761 | 8 |
Questions
What is the 6296th prime number?
62731.
Which prime number is 62731?
62731 is the 6296th prime number.
What is the sum of the first 6296 primes?
186,515,239.