What is the 6298th prime number?
The 6298th prime number is 62753. The next prime is 62761 (a gap of 8) and the one before is 62743.
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 6298th one is 62753.
- 2
62753 is prime because no prime up to ā62753 ā 250.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6298th prime is close to 6298 Ć ln(6298) ā 55095, and here it is 62753.
- 4
62753 has no twin: neither 62751 nor 62755 is prime.
Primes around the 6298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6295 | 62723 | 22 |
| 6296 | 62731 | 8 |
| 6297 | 62743 | 12 |
| 6298 | 62753 | 10 |
| 6299 | 62761 | 8 |
| 6300 | 62773 | 12 |
| 6301 | 62791 | 18 |
Questions
What is the 6298th prime number?
62753.
Which prime number is 62753?
62753 is the 6298th prime number.
What is the sum of the first 6298 primes?
186,640,735.