What is the 6283rd prime number?
The 6283rd prime number is 62591. The next prime is 62597 (a gap of 6) and the one before is 62581.
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 6283rd one is 62591.
- 2
62591 is prime because no prime up to ā62591 ā 250.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6283rd prime is close to 6283 Ć ln(6283) ā 54949, and here it is 62591.
- 4
62591 has no twin: neither 62589 nor 62593 is prime.
Primes around the 6283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6280 | 62549 | 10 |
| 6281 | 62563 | 14 |
| 6282 | 62581 | 18 |
| 6283 | 62591 | 10 |
| 6284 | 62597 | 6 |
| 6285 | 62603 | 6 |
| 6286 | 62617 | 14 |
Questions
What is the 6283rd prime number?
62591.
Which prime number is 62591?
62591 is the 6283rd prime number.
What is the sum of the first 6283 primes?
185,700,686.