What is the 6261st prime number?
The 6261st prime number is 62311. The next prime is 62323 (a gap of 12) and the one before is 62303.
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 6261st one is 62311.
- 2
62311 is prime because no prime up to ā62311 ā 249.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6261st prime is close to 6261 Ć ln(6261) ā 54734, and here it is 62311.
- 4
62311 has no twin: neither 62309 nor 62313 is prime.
Primes around the 6261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6258 | 62297 | 24 |
| 6259 | 62299 | 2 |
| 6260 | 62303 | 4 |
| 6261 | 62311 | 8 |
| 6262 | 62323 | 12 |
| 6263 | 62327 | 4 |
| 6264 | 62347 | 20 |
Questions
What is the 6261st prime number?
62311.
Which prime number is 62311?
62311 is the 6261st prime number.
What is the sum of the first 6261 primes?
184,326,494.