What is the 1677th prime number?
The 1677th prime number is 14293. The next prime is 14303 (a gap of 10) and the one before is 14281.
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 1677th one is 14293.
- 2
14293 is prime because no prime up to ā14293 ā 119.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1677th prime is close to 1677 Ć ln(1677) ā 12451, and here it is 14293.
- 4
14293 has no twin: neither 14291 nor 14295 is prime.
Primes around the 1677th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1674 | 14249 | 6 |
| 1675 | 14251 | 2 |
| 1676 | 14281 | 30 |
| 1677 | 14293 | 12 |
| 1678 | 14303 | 10 |
| 1679 | 14321 | 18 |
| 1680 | 14323 | 2 |
Questions
What is the 1677th prime number?
14293.
Which prime number is 14293?
14293 is the 1677th prime number.
What is the sum of the first 1677 primes?
11,168,106.