What is the 3220th prime number?
The 3220th prime number is 29671. The next prime is 29683 (a gap of 12) and the one before is 29669.
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 3220th one is 29671.
- 2
29671 is prime because no prime up to ā29671 ā 172.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3220th prime is close to 3220 Ć ln(3220) ā 26008, and here it is 29671.
- 4
29671 is a twin prime: 29669 and 29671 are both prime.
Primes around the 3220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3217 | 29641 | 8 |
| 3218 | 29663 | 22 |
| 3219 | 29669 | 6 |
| 3220 | 29671 | 2 |
| 3221 | 29683 | 12 |
| 3222 | 29717 | 34 |
| 3223 | 29723 | 6 |
Questions
What is the 3220th prime number?
29671.
Which prime number is 29671?
29671 is the 3220th prime number.
What is the sum of the first 3220 primes?
44,929,789.