What is the 1312th prime number?
The 1312th prime number is 10771. The next prime is 10781 (a gap of 10) and the one before is 10753.
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 1312th one is 10771.
- 2
10771 is prime because no prime up to ā10771 ā 103.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1312th prime is close to 1312 Ć ln(1312) ā 9419, and here it is 10771.
- 4
10771 has no twin: neither 10769 nor 10773 is prime.
Primes around the 1312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1309 | 10733 | 4 |
| 1310 | 10739 | 6 |
| 1311 | 10753 | 14 |
| 1312 | 10771 | 18 |
| 1313 | 10781 | 10 |
| 1314 | 10789 | 8 |
| 1315 | 10799 | 10 |
Questions
What is the 1312th prime number?
10771.
Which prime number is 10771?
10771 is the 1312th prime number.
What is the sum of the first 1312 primes?
6,598,073.