What is the 3219th prime number?
The 3219th prime number is 29669. The next prime is 29671 (a gap of 2) and the one before is 29663.
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 3219th one is 29669.
- 2
29669 is prime because no prime up to ā29669 ā 172.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3219th prime is close to 3219 Ć ln(3219) ā 25999, and here it is 29669.
- 4
29669 is a twin prime: 29669 and 29671 are both prime.
Primes around the 3219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3216 | 29633 | 4 |
| 3217 | 29641 | 8 |
| 3218 | 29663 | 22 |
| 3219 | 29669 | 6 |
| 3220 | 29671 | 2 |
| 3221 | 29683 | 12 |
| 3222 | 29717 | 34 |
Questions
What is the 3219th prime number?
29669.
Which prime number is 29669?
29669 is the 3219th prime number.
What is the sum of the first 3219 primes?
44,900,118.