What is the 6207th prime number?
The 6207th prime number is 61681. The next prime is 61687 (a gap of 6) and the one before is 61673.
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 6207th one is 61681.
- 2
61681 is prime because no prime up to ā61681 ā 248.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6207th prime is close to 6207 Ć ln(6207) ā 54208, and here it is 61681.
- 4
61681 has no twin: neither 61679 nor 61683 is prime.
Primes around the 6207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6204 | 61657 | 6 |
| 6205 | 61667 | 10 |
| 6206 | 61673 | 6 |
| 6207 | 61681 | 8 |
| 6208 | 61687 | 6 |
| 6209 | 61703 | 16 |
| 6210 | 61717 | 14 |
Questions
What is the 6207th prime number?
61681.
Which prime number is 61681?
61681 is the 6207th prime number.
What is the sum of the first 6207 primes?
180,977,754.