What is the 3215th prime number?
The 3215th prime number is 29629. The next prime is 29633 (a gap of 4) and the one before is 29611.
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 3215th one is 29629.
- 2
29629 is prime because no prime up to ā29629 ā 172.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3215th prime is close to 3215 Ć ln(3215) ā 25963, and here it is 29629.
- 4
29629 has no twin: neither 29627 nor 29631 is prime.
Primes around the 3215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3212 | 29587 | 6 |
| 3213 | 29599 | 12 |
| 3214 | 29611 | 12 |
| 3215 | 29629 | 18 |
| 3216 | 29633 | 4 |
| 3217 | 29641 | 8 |
| 3218 | 29663 | 22 |
Questions
What is the 3215th prime number?
29629.
Which prime number is 29629?
29629 is the 3215th prime number.
What is the sum of the first 3215 primes?
44,781,512.