What is the 1674th prime number?
The 1674th prime number is 14249. The next prime is 14251 (a gap of 2) and the one before is 14243.
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 1674th one is 14249.
- 2
14249 is prime because no prime up to ā14249 ā 119.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1674th prime is close to 1674 Ć ln(1674) ā 12426, and here it is 14249.
- 4
14249 is a twin prime: 14249 and 14251 are both prime.
Primes around the 1674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1671 | 14207 | 10 |
| 1672 | 14221 | 14 |
| 1673 | 14243 | 22 |
| 1674 | 14249 | 6 |
| 1675 | 14251 | 2 |
| 1676 | 14281 | 30 |
| 1677 | 14293 | 12 |
Questions
What is the 1674th prime number?
14249.
Which prime number is 14249?
14249 is the 1674th prime number.
What is the sum of the first 1674 primes?
11,125,281.