What is the 6213th prime number?
The 6213th prime number is 61751. The next prime is 61757 (a gap of 6) and the one before is 61729.
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 6213th one is 61751.
- 2
61751 is prime because no prime up to ā61751 ā 248.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6213th prime is close to 6213 Ć ln(6213) ā 54267, and here it is 61751.
- 4
61751 has no twin: neither 61749 nor 61753 is prime.
Primes around the 6213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6210 | 61717 | 14 |
| 6211 | 61723 | 6 |
| 6212 | 61729 | 6 |
| 6213 | 61751 | 22 |
| 6214 | 61757 | 6 |
| 6215 | 61781 | 24 |
| 6216 | 61813 | 32 |
Questions
What is the 6213th prime number?
61751.
Which prime number is 61751?
61751 is the 6213th prime number.
What is the sum of the first 6213 primes?
181,348,064.