What is the 6265th prime number?
The 6265th prime number is 62351. The next prime is 62383 (a gap of 32) and the one before is 62347.
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 6265th one is 62351.
- 2
62351 is prime because no prime up to ā62351 ā 249.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6265th prime is close to 6265 Ć ln(6265) ā 54773, and here it is 62351.
- 4
62351 has no twin: neither 62349 nor 62353 is prime.
Primes around the 6265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6262 | 62323 | 12 |
| 6263 | 62327 | 4 |
| 6264 | 62347 | 20 |
| 6265 | 62351 | 4 |
| 6266 | 62383 | 32 |
| 6267 | 62401 | 18 |
| 6268 | 62417 | 16 |
Questions
What is the 6265th prime number?
62351.
Which prime number is 62351?
62351 is the 6265th prime number.
What is the sum of the first 6265 primes?
184,575,842.