What is the 6613th prime number?
The 6613th prime number is 66301. The next prime is 66337 (a gap of 36) and the one before is 66293.
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 6613th one is 66301.
- 2
66301 is prime because no prime up to ā66301 ā 257.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6613th prime is close to 6613 Ć ln(6613) ā 58173, and here it is 66301.
- 4
66301 has no twin: neither 66299 nor 66303 is prime.
Primes around the 6613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6610 | 66239 | 18 |
| 6611 | 66271 | 32 |
| 6612 | 66293 | 22 |
| 6613 | 66301 | 8 |
| 6614 | 66337 | 36 |
| 6615 | 66343 | 6 |
| 6616 | 66347 | 4 |
Questions
What is the 6613th prime number?
66301.
Which prime number is 66301?
66301 is the 6613th prime number.
What is the sum of the first 6613 primes?
206,964,780.