What is the 6614th prime number?
The 6614th prime number is 66337. The next prime is 66343 (a gap of 6) and the one before is 66301.
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 6614th one is 66337.
- 2
66337 is prime because no prime up to ā66337 ā 257.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6614th prime is close to 6614 Ć ln(6614) ā 58183, and here it is 66337.
- 4
66337 has no twin: neither 66335 nor 66339 is prime.
Primes around the 6614th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6611 | 66271 | 32 |
| 6612 | 66293 | 22 |
| 6613 | 66301 | 8 |
| 6614 | 66337 | 36 |
| 6615 | 66343 | 6 |
| 6616 | 66347 | 4 |
| 6617 | 66359 | 12 |
Questions
What is the 6614th prime number?
66337.
Which prime number is 66337?
66337 is the 6614th prime number.
What is the sum of the first 6614 primes?
207,031,117.