What is the 1678th prime number?
The 1678th prime number is 14303. The next prime is 14321 (a gap of 18) and the one before is 14293.
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 1678th one is 14303.
- 2
14303 is prime because no prime up to ā14303 ā 119.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1678th prime is close to 1678 Ć ln(1678) ā 12460, and here it is 14303.
- 4
14303 has no twin: neither 14301 nor 14305 is prime.
Primes around the 1678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1675 | 14251 | 2 |
| 1676 | 14281 | 30 |
| 1677 | 14293 | 12 |
| 1678 | 14303 | 10 |
| 1679 | 14321 | 18 |
| 1680 | 14323 | 2 |
| 1681 | 14327 | 4 |
Questions
What is the 1678th prime number?
14303.
Which prime number is 14303?
14303 is the 1678th prime number.
What is the sum of the first 1678 primes?
11,182,409.