What is the 3218th prime number?
The 3218th prime number is 29663. The next prime is 29669 (a gap of 6) and the one before is 29641.
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 3218th one is 29663.
- 2
29663 is prime because no prime up to ā29663 ā 172.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3218th prime is close to 3218 Ć ln(3218) ā 25990, and here it is 29663.
- 4
29663 has no twin: neither 29661 nor 29665 is prime.
Primes around the 3218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3215 | 29629 | 18 |
| 3216 | 29633 | 4 |
| 3217 | 29641 | 8 |
| 3218 | 29663 | 22 |
| 3219 | 29669 | 6 |
| 3220 | 29671 | 2 |
| 3221 | 29683 | 12 |
Questions
What is the 3218th prime number?
29663.
Which prime number is 29663?
29663 is the 3218th prime number.
What is the sum of the first 3218 primes?
44,870,449.