What is the 19th prime number?
The 19th prime number is 67. The next prime is 71 (a gap of 4) and the one before is 61.
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 19th one is 67.
- 2
67 is prime because no prime up to ā67 ā 8.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 19th prime is close to 19 Ć ln(19) ā 56, and here it is 67.
- 4
67 has no twin: neither 65 nor 69 is prime.
Primes around the 19th
| Position | Prime | Gap from the previous |
|---|---|---|
| 16 | 53 | 6 |
| 17 | 59 | 6 |
| 18 | 61 | 2 |
| 19 | 67 | 6 |
| 20 | 71 | 4 |
| 21 | 73 | 2 |
| 22 | 79 | 6 |
Questions
What is the 19th prime number?
67.
Which prime number is 67?
67 is the 19th prime number.
What is the sum of the first 19 primes?
568.