What is the 1316th prime number?
The 1316th prime number is 10831. The next prime is 10837 (a gap of 6) and the one before is 10799.
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 1316th one is 10831.
- 2
10831 is prime because no prime up to ā10831 ā 104.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1316th prime is close to 1316 Ć ln(1316) ā 9452, and here it is 10831.
- 4
10831 has no twin: neither 10829 nor 10833 is prime.
Primes around the 1316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1313 | 10781 | 10 |
| 1314 | 10789 | 8 |
| 1315 | 10799 | 10 |
| 1316 | 10831 | 32 |
| 1317 | 10837 | 6 |
| 1318 | 10847 | 10 |
| 1319 | 10853 | 6 |
Questions
What is the 1316th prime number?
10831.
Which prime number is 10831?
10831 is the 1316th prime number.
What is the sum of the first 1316 primes?
6,641,273.