What is the 6276th prime number?
The 6276th prime number is 62501. The next prime is 62507 (a gap of 6) and the one before is 62497.
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 6276th one is 62501.
- 2
62501 is prime because no prime up to ā62501 ā 250.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6276th prime is close to 6276 Ć ln(6276) ā 54880, and here it is 62501.
- 4
62501 has no twin: neither 62499 nor 62503 is prime.
Primes around the 6276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6273 | 62477 | 4 |
| 6274 | 62483 | 6 |
| 6275 | 62497 | 14 |
| 6276 | 62501 | 4 |
| 6277 | 62507 | 6 |
| 6278 | 62533 | 26 |
| 6279 | 62539 | 6 |
Questions
What is the 6276th prime number?
62501.
Which prime number is 62501?
62501 is the 6276th prime number.
What is the sum of the first 6276 primes?
185,262,823.