What is the 12th prime number?
The 12th prime number is 37. The next prime is 41 (a gap of 4) and the one before is 31.
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 12th one is 37.
- 2
37 is prime because no prime up to ā37 ā 6.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 12th prime is close to 12 Ć ln(12) ā 30, and here it is 37.
- 4
37 has no twin: neither 35 nor 39 is prime.
Primes around the 12th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9 | 23 | 4 |
| 10 | 29 | 6 |
| 11 | 31 | 2 |
| 12 | 37 | 6 |
| 13 | 41 | 4 |
| 14 | 43 | 2 |
| 15 | 47 | 4 |
Questions
What is the 12th prime number?
37.
Which prime number is 37?
37 is the 12th prime number.
What is the sum of the first 12 primes?
197.