What is the 6250th prime number?
The 6250th prime number is 62189. The next prime is 62191 (a gap of 2) and the one before is 62171.
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 6250th one is 62189.
- 2
62189 is prime because no prime up to ā62189 ā 249.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6250th prime is close to 6250 Ć ln(6250) ā 54627, and here it is 62189.
- 4
62189 is a twin prime: 62189 and 62191 are both prime.
Primes around the 6250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6247 | 62141 | 4 |
| 6248 | 62143 | 2 |
| 6249 | 62171 | 28 |
| 6250 | 62189 | 18 |
| 6251 | 62191 | 2 |
| 6252 | 62201 | 10 |
| 6253 | 62207 | 6 |
Questions
What is the 6250th prime number?
62189.
Which prime number is 62189?
62189 is the 6250th prime number.
What is the sum of the first 6250 primes?
183,641,747.