What is the 6223rd prime number?
The 6223rd prime number is 61909. The next prime is 61927 (a gap of 18) and the one before is 61879.
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 6223rd one is 61909.
- 2
61909 is prime because no prime up to ā61909 ā 248.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6223rd prime is close to 6223 Ć ln(6223) ā 54364, and here it is 61909.
- 4
61909 has no twin: neither 61907 nor 61911 is prime.
Primes around the 6223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6220 | 61861 | 18 |
| 6221 | 61871 | 10 |
| 6222 | 61879 | 8 |
| 6223 | 61909 | 30 |
| 6224 | 61927 | 18 |
| 6225 | 61933 | 6 |
| 6226 | 61949 | 16 |
Questions
What is the 6223rd prime number?
61909.
Which prime number is 61909?
61909 is the 6223rd prime number.
What is the sum of the first 6223 primes?
181,966,434.