What is the 3224th prime number?
The 3224th prime number is 29741. The next prime is 29753 (a gap of 12) and the one before is 29723.
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 3224th one is 29741.
- 2
29741 is prime because no prime up to ā29741 ā 172.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3224th prime is close to 3224 Ć ln(3224) ā 26045, and here it is 29741.
- 4
29741 has no twin: neither 29739 nor 29743 is prime.
Primes around the 3224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3221 | 29683 | 12 |
| 3222 | 29717 | 34 |
| 3223 | 29723 | 6 |
| 3224 | 29741 | 18 |
| 3225 | 29753 | 12 |
| 3226 | 29759 | 6 |
| 3227 | 29761 | 2 |
Questions
What is the 3224th prime number?
29741.
Which prime number is 29741?
29741 is the 3224th prime number.
What is the sum of the first 3224 primes?
45,048,653.