What is the 1670th prime number?
The 1670th prime number is 14197. The next prime is 14207 (a gap of 10) and the one before is 14177.
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 1670th one is 14197.
- 2
14197 is prime because no prime up to ā14197 ā 119.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1670th prime is close to 1670 Ć ln(1670) ā 12392, and here it is 14197.
- 4
14197 has no twin: neither 14195 nor 14199 is prime.
Primes around the 1670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1667 | 14159 | 6 |
| 1668 | 14173 | 14 |
| 1669 | 14177 | 4 |
| 1670 | 14197 | 20 |
| 1671 | 14207 | 10 |
| 1672 | 14221 | 14 |
| 1673 | 14243 | 22 |
Questions
What is the 1670th prime number?
14197.
Which prime number is 14197?
14197 is the 1670th prime number.
What is the sum of the first 1670 primes?
11,068,361.