What is the 6235th prime number?
The 6235th prime number is 62017. The next prime is 62039 (a gap of 22) and the one before is 62011.
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 6235th one is 62017.
- 2
62017 is prime because no prime up to ā62017 ā 249.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6235th prime is close to 6235 Ć ln(6235) ā 54481, and here it is 62017.
- 4
62017 has no twin: neither 62015 nor 62019 is prime.
Primes around the 6235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6232 | 61991 | 4 |
| 6233 | 62003 | 12 |
| 6234 | 62011 | 8 |
| 6235 | 62017 | 6 |
| 6236 | 62039 | 22 |
| 6237 | 62047 | 8 |
| 6238 | 62053 | 6 |
Questions
What is the 6235th prime number?
62017.
Which prime number is 62017?
62017 is the 6235th prime number.
What is the sum of the first 6235 primes?
182,710,140.