What is the 6212th prime number?
The 6212th prime number is 61729. The next prime is 61751 (a gap of 22) and the one before is 61723.
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, ⦠The 6212th one is 61729.
- 2
61729 is prime because no prime up to ā61729 ā 248.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6212th prime is close to 6212 Ć ln(6212) ā 54257, and here it is 61729.
- 4
61729 has no twin: neither 61727 nor 61731 is prime.
Primes around the 6212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6209 | 61703 | 16 |
| 6210 | 61717 | 14 |
| 6211 | 61723 | 6 |
| 6212 | 61729 | 6 |
| 6213 | 61751 | 22 |
| 6214 | 61757 | 6 |
| 6215 | 61781 | 24 |
Questions
What is the 6212th prime number?
61729.
Which prime number is 61729?
61729 is the 6212th prime number.
What is the sum of the first 6212 primes?
181,286,313.