What is the 1318th prime number?
The 1318th prime number is 10847. The next prime is 10853 (a gap of 6) and the one before is 10837.
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 1318th one is 10847.
- 2
10847 is prime because no prime up to ā10847 ā 104.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1318th prime is close to 1318 Ć ln(1318) ā 9468, and here it is 10847.
- 4
10847 has no twin: neither 10845 nor 10849 is prime.
Primes around the 1318th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1315 | 10799 | 10 |
| 1316 | 10831 | 32 |
| 1317 | 10837 | 6 |
| 1318 | 10847 | 10 |
| 1319 | 10853 | 6 |
| 1320 | 10859 | 6 |
| 1321 | 10861 | 2 |
Questions
What is the 1318th prime number?
10847.
Which prime number is 10847?
10847 is the 1318th prime number.
What is the sum of the first 1318 primes?
6,662,957.