What is the 6259th prime number?
The 6259th prime number is 62299. The next prime is 62303 (a gap of 4) and the one before is 62297.
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 6259th one is 62299.
- 2
62299 is prime because no prime up to ā62299 ā 249.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6259th prime is close to 6259 Ć ln(6259) ā 54715, and here it is 62299.
- 4
62299 is a twin prime: 62297 and 62299 are both prime.
Primes around the 6259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6256 | 62233 | 14 |
| 6257 | 62273 | 40 |
| 6258 | 62297 | 24 |
| 6259 | 62299 | 2 |
| 6260 | 62303 | 4 |
| 6261 | 62311 | 8 |
| 6262 | 62323 | 12 |
Questions
What is the 6259th prime number?
62299.
Which prime number is 62299?
62299 is the 6259th prime number.
What is the sum of the first 6259 primes?
184,201,880.