What is the 6249th prime number?
The 6249th prime number is 62171. The next prime is 62189 (a gap of 18) and the one before is 62143.
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 6249th one is 62171.
- 2
62171 is prime because no prime up to ā62171 ā 249.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6249th prime is close to 6249 Ć ln(6249) ā 54617, and here it is 62171.
- 4
62171 has no twin: neither 62169 nor 62173 is prime.
Primes around the 6249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6246 | 62137 | 6 |
| 6247 | 62141 | 4 |
| 6248 | 62143 | 2 |
| 6249 | 62171 | 28 |
| 6250 | 62189 | 18 |
| 6251 | 62191 | 2 |
| 6252 | 62201 | 10 |
Questions
What is the 6249th prime number?
62171.
Which prime number is 62171?
62171 is the 6249th prime number.
What is the sum of the first 6249 primes?
183,579,558.