What is the 6221st prime number?
The 6221st prime number is 61871. The next prime is 61879 (a gap of 8) and the one before is 61861.
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 6221st one is 61871.
- 2
61871 is prime because no prime up to ā61871 ā 248.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6221st prime is close to 6221 Ć ln(6221) ā 54345, and here it is 61871.
- 4
61871 has no twin: neither 61869 nor 61873 is prime.
Primes around the 6221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6218 | 61837 | 18 |
| 6219 | 61843 | 6 |
| 6220 | 61861 | 18 |
| 6221 | 61871 | 10 |
| 6222 | 61879 | 8 |
| 6223 | 61909 | 30 |
| 6224 | 61927 | 18 |
Questions
What is the 6221st prime number?
61871.
Which prime number is 61871?
61871 is the 6221st prime number.
What is the sum of the first 6221 primes?
181,842,646.