What is the 6216th prime number?
The 6216th prime number is 61813. The next prime is 61819 (a gap of 6) and the one before is 61781.
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 6216th one is 61813.
- 2
61813 is prime because no prime up to ā61813 ā 248.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6216th prime is close to 6216 Ć ln(6216) ā 54296, and here it is 61813.
- 4
61813 has no twin: neither 61811 nor 61815 is prime.
Primes around the 6216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6213 | 61751 | 22 |
| 6214 | 61757 | 6 |
| 6215 | 61781 | 24 |
| 6216 | 61813 | 32 |
| 6217 | 61819 | 6 |
| 6218 | 61837 | 18 |
| 6219 | 61843 | 6 |
Questions
What is the 6216th prime number?
61813.
Which prime number is 61813?
61813 is the 6216th prime number.
What is the sum of the first 6216 primes?
181,533,415.