What is the 6218th prime number?
The 6218th prime number is 61837. The next prime is 61843 (a gap of 6) and the one before is 61819.
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 6218th one is 61837.
- 2
61837 is prime because no prime up to ā61837 ā 248.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6218th prime is close to 6218 Ć ln(6218) ā 54315, and here it is 61837.
- 4
61837 has no twin: neither 61835 nor 61839 is prime.
Primes around the 6218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6215 | 61781 | 24 |
| 6216 | 61813 | 32 |
| 6217 | 61819 | 6 |
| 6218 | 61837 | 18 |
| 6219 | 61843 | 6 |
| 6220 | 61861 | 18 |
| 6221 | 61871 | 10 |
Questions
What is the 6218th prime number?
61837.
Which prime number is 61837?
61837 is the 6218th prime number.
What is the sum of the first 6218 primes?
181,657,071.