What is the 3223rd prime number?
The 3223rd prime number is 29723. The next prime is 29741 (a gap of 18) and the one before is 29717.
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 3223rd one is 29723.
- 2
29723 is prime because no prime up to ā29723 ā 172.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3223rd prime is close to 3223 Ć ln(3223) ā 26036, and here it is 29723.
- 4
29723 has no twin: neither 29721 nor 29725 is prime.
Primes around the 3223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3220 | 29671 | 2 |
| 3221 | 29683 | 12 |
| 3222 | 29717 | 34 |
| 3223 | 29723 | 6 |
| 3224 | 29741 | 18 |
| 3225 | 29753 | 12 |
| 3226 | 29759 | 6 |
Questions
What is the 3223rd prime number?
29723.
Which prime number is 29723?
29723 is the 3223rd prime number.
What is the sum of the first 3223 primes?
45,018,912.