What is the 1317th prime number?
The 1317th prime number is 10837. The next prime is 10847 (a gap of 10) and the one before is 10831.
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 1317th one is 10837.
- 2
10837 is prime because no prime up to ā10837 ā 104.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1317th prime is close to 1317 Ć ln(1317) ā 9460, and here it is 10837.
- 4
10837 has no twin: neither 10835 nor 10839 is prime.
Primes around the 1317th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1314 | 10789 | 8 |
| 1315 | 10799 | 10 |
| 1316 | 10831 | 32 |
| 1317 | 10837 | 6 |
| 1318 | 10847 | 10 |
| 1319 | 10853 | 6 |
| 1320 | 10859 | 6 |
Questions
What is the 1317th prime number?
10837.
Which prime number is 10837?
10837 is the 1317th prime number.
What is the sum of the first 1317 primes?
6,652,110.