What is the 3216th prime number?
The 3216th prime number is 29633. The next prime is 29641 (a gap of 8) and the one before is 29629.
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 3216th one is 29633.
- 2
29633 is prime because no prime up to ā29633 ā 172.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3216th prime is close to 3216 Ć ln(3216) ā 25972, and here it is 29633.
- 4
29633 has no twin: neither 29631 nor 29635 is prime.
Primes around the 3216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3213 | 29599 | 12 |
| 3214 | 29611 | 12 |
| 3215 | 29629 | 18 |
| 3216 | 29633 | 4 |
| 3217 | 29641 | 8 |
| 3218 | 29663 | 22 |
| 3219 | 29669 | 6 |
Questions
What is the 3216th prime number?
29633.
Which prime number is 29633?
29633 is the 3216th prime number.
What is the sum of the first 3216 primes?
44,811,145.