What is the 3212th prime number?
The 3212th prime number is 29587. The next prime is 29599 (a gap of 12) and the one before is 29581.
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 3212th one is 29587.
- 2
29587 is prime because no prime up to ā29587 ā 172.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3212th prime is close to 3212 Ć ln(3212) ā 25936, and here it is 29587.
- 4
29587 has no twin: neither 29585 nor 29589 is prime.
Primes around the 3212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3209 | 29569 | 2 |
| 3210 | 29573 | 4 |
| 3211 | 29581 | 8 |
| 3212 | 29587 | 6 |
| 3213 | 29599 | 12 |
| 3214 | 29611 | 12 |
| 3215 | 29629 | 18 |
Questions
What is the 3212th prime number?
29587.
Which prime number is 29587?
29587 is the 3212th prime number.
What is the sum of the first 3212 primes?
44,692,673.