What is the 3217th prime number?
The 3217th prime number is 29641. The next prime is 29663 (a gap of 22) and the one before is 29633.
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 3217th one is 29641.
- 2
29641 is prime because no prime up to ā29641 ā 172.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3217th prime is close to 3217 Ć ln(3217) ā 25981, and here it is 29641.
- 4
29641 has no twin: neither 29639 nor 29643 is prime.
Primes around the 3217th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3214 | 29611 | 12 |
| 3215 | 29629 | 18 |
| 3216 | 29633 | 4 |
| 3217 | 29641 | 8 |
| 3218 | 29663 | 22 |
| 3219 | 29669 | 6 |
| 3220 | 29671 | 2 |
Questions
What is the 3217th prime number?
29641.
Which prime number is 29641?
29641 is the 3217th prime number.
What is the sum of the first 3217 primes?
44,840,786.