What is the 1314th prime number?
The 1314th prime number is 10789. The next prime is 10799 (a gap of 10) and the one before is 10781.
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 1314th one is 10789.
- 2
10789 is prime because no prime up to ā10789 ā 103.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1314th prime is close to 1314 Ć ln(1314) ā 9436, and here it is 10789.
- 4
10789 has no twin: neither 10787 nor 10791 is prime.
Primes around the 1314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1311 | 10753 | 14 |
| 1312 | 10771 | 18 |
| 1313 | 10781 | 10 |
| 1314 | 10789 | 8 |
| 1315 | 10799 | 10 |
| 1316 | 10831 | 32 |
| 1317 | 10837 | 6 |
Questions
What is the 1314th prime number?
10789.
Which prime number is 10789?
10789 is the 1314th prime number.
What is the sum of the first 1314 primes?
6,619,643.