What is the 8223rd prime number?
The 8223rd prime number is 84377. The next prime is 84389 (a gap of 12) and the one before is 84349.
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 8223rd one is 84377.
- 2
84377 is prime because no prime up to ā84377 ā 290.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8223rd prime is close to 8223 Ć ln(8223) ā 74128, and here it is 84377.
- 4
84377 has no twin: neither 84375 nor 84379 is prime.
Primes around the 8223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8220 | 84319 | 2 |
| 8221 | 84347 | 28 |
| 8222 | 84349 | 2 |
| 8223 | 84377 | 28 |
| 8224 | 84389 | 12 |
| 8225 | 84391 | 2 |
| 8226 | 84401 | 10 |
Questions
What is the 8223rd prime number?
84377.
Which prime number is 84377?
84377 is the 8223rd prime number.
What is the sum of the first 8223 primes?
328,200,324.