What is the 1675th prime number?
The 1675th prime number is 14251. The next prime is 14281 (a gap of 30) and the one before is 14249.
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 1675th one is 14251.
- 2
14251 is prime because no prime up to ā14251 ā 119.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1675th prime is close to 1675 Ć ln(1675) ā 12434, and here it is 14251.
- 4
14251 is a twin prime: 14249 and 14251 are both prime.
Primes around the 1675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1672 | 14221 | 14 |
| 1673 | 14243 | 22 |
| 1674 | 14249 | 6 |
| 1675 | 14251 | 2 |
| 1676 | 14281 | 30 |
| 1677 | 14293 | 12 |
| 1678 | 14303 | 10 |
Questions
What is the 1675th prime number?
14251.
Which prime number is 14251?
14251 is the 1675th prime number.
What is the sum of the first 1675 primes?
11,139,532.