What is the 1321st prime number?
The 1321st prime number is 10861. The next prime is 10867 (a gap of 6) and the one before is 10859.
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 1321st one is 10861.
- 2
10861 is prime because no prime up to ā10861 ā 104.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1321st prime is close to 1321 Ć ln(1321) ā 9493, and here it is 10861.
- 4
10861 is a twin prime: 10859 and 10861 are both prime.
Primes around the 1321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1318 | 10847 | 10 |
| 1319 | 10853 | 6 |
| 1320 | 10859 | 6 |
| 1321 | 10861 | 2 |
| 1322 | 10867 | 6 |
| 1323 | 10883 | 16 |
| 1324 | 10889 | 6 |
Questions
What is the 1321st prime number?
10861.
Which prime number is 10861?
10861 is the 1321st prime number.
What is the sum of the first 1321 primes?
6,695,530.