What is the 3222nd prime number?
The 3222nd prime number is 29717. The next prime is 29723 (a gap of 6) and the one before is 29683.
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 3222nd one is 29717.
- 2
29717 is prime because no prime up to ā29717 ā 172.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3222nd prime is close to 3222 Ć ln(3222) ā 26027, and here it is 29717.
- 4
29717 has no twin: neither 29715 nor 29719 is prime.
Primes around the 3222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3219 | 29669 | 6 |
| 3220 | 29671 | 2 |
| 3221 | 29683 | 12 |
| 3222 | 29717 | 34 |
| 3223 | 29723 | 6 |
| 3224 | 29741 | 18 |
| 3225 | 29753 | 12 |
Questions
What is the 3222nd prime number?
29717.
Which prime number is 29717?
29717 is the 3222nd prime number.
What is the sum of the first 3222 primes?
44,989,189.