What is the 1676th prime number?
The 1676th prime number is 14281. The next prime is 14293 (a gap of 12) and the one before is 14251.
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 1676th one is 14281.
- 2
14281 is prime because no prime up to ā14281 ā 119.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1676th prime is close to 1676 Ć ln(1676) ā 12443, and here it is 14281.
- 4
14281 has no twin: neither 14279 nor 14283 is prime.
Primes around the 1676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1673 | 14243 | 22 |
| 1674 | 14249 | 6 |
| 1675 | 14251 | 2 |
| 1676 | 14281 | 30 |
| 1677 | 14293 | 12 |
| 1678 | 14303 | 10 |
| 1679 | 14321 | 18 |
Questions
What is the 1676th prime number?
14281.
Which prime number is 14281?
14281 is the 1676th prime number.
What is the sum of the first 1676 primes?
11,153,813.