What is the 6211th prime number?
The 6211th prime number is 61723. The next prime is 61729 (a gap of 6) and the one before is 61717.
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 6211th one is 61723.
- 2
61723 is prime because no prime up to ā61723 ā 248.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6211th prime is close to 6211 Ć ln(6211) ā 54247, and here it is 61723.
- 4
61723 has no twin: neither 61721 nor 61725 is prime.
Primes around the 6211th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6208 | 61687 | 6 |
| 6209 | 61703 | 16 |
| 6210 | 61717 | 14 |
| 6211 | 61723 | 6 |
| 6212 | 61729 | 6 |
| 6213 | 61751 | 22 |
| 6214 | 61757 | 6 |
Questions
What is the 6211th prime number?
61723.
Which prime number is 61723?
61723 is the 6211th prime number.
What is the sum of the first 6211 primes?
181,224,584.