What is the 1320th prime number?
The 1320th prime number is 10859. The next prime is 10861 (a gap of 2) and the one before is 10853.
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 1320th one is 10859.
- 2
10859 is prime because no prime up to ā10859 ā 104.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1320th prime is close to 1320 Ć ln(1320) ā 9485, and here it is 10859.
- 4
10859 is a twin prime: 10859 and 10861 are both prime.
Primes around the 1320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1317 | 10837 | 6 |
| 1318 | 10847 | 10 |
| 1319 | 10853 | 6 |
| 1320 | 10859 | 6 |
| 1321 | 10861 | 2 |
| 1322 | 10867 | 6 |
| 1323 | 10883 | 16 |
Questions
What is the 1320th prime number?
10859.
Which prime number is 10859?
10859 is the 1320th prime number.
What is the sum of the first 1320 primes?
6,684,669.