What is the 6251st prime number?
The 6251st prime number is 62191. The next prime is 62201 (a gap of 10) and the one before is 62189.
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 6251st one is 62191.
- 2
62191 is prime because no prime up to ā62191 ā 249.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6251st prime is close to 6251 Ć ln(6251) ā 54637, and here it is 62191.
- 4
62191 is a twin prime: 62189 and 62191 are both prime.
Primes around the 6251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6248 | 62143 | 2 |
| 6249 | 62171 | 28 |
| 6250 | 62189 | 18 |
| 6251 | 62191 | 2 |
| 6252 | 62201 | 10 |
| 6253 | 62207 | 6 |
| 6254 | 62213 | 6 |
Questions
What is the 6251st prime number?
62191.
Which prime number is 62191?
62191 is the 6251st prime number.
What is the sum of the first 6251 primes?
183,703,938.