What is the 6209th prime number?
The 6209th prime number is 61703. The next prime is 61717 (a gap of 14) and the one before is 61687.
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 6209th one is 61703.
- 2
61703 is prime because no prime up to ā61703 ā 248.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6209th prime is close to 6209 Ć ln(6209) ā 54228, and here it is 61703.
- 4
61703 has no twin: neither 61701 nor 61705 is prime.
Primes around the 6209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6206 | 61673 | 6 |
| 6207 | 61681 | 8 |
| 6208 | 61687 | 6 |
| 6209 | 61703 | 16 |
| 6210 | 61717 | 14 |
| 6211 | 61723 | 6 |
| 6212 | 61729 | 6 |
Questions
What is the 6209th prime number?
61703.
Which prime number is 61703?
61703 is the 6209th prime number.
What is the sum of the first 6209 primes?
181,101,144.