What is the 1311th prime number?
The 1311th prime number is 10753. The next prime is 10771 (a gap of 18) and the one before is 10739.
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 1311th one is 10753.
- 2
10753 is prime because no prime up to ā10753 ā 103.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1311th prime is close to 1311 Ć ln(1311) ā 9411, and here it is 10753.
- 4
10753 has no twin: neither 10751 nor 10755 is prime.
Primes around the 1311th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1308 | 10729 | 6 |
| 1309 | 10733 | 4 |
| 1310 | 10739 | 6 |
| 1311 | 10753 | 14 |
| 1312 | 10771 | 18 |
| 1313 | 10781 | 10 |
| 1314 | 10789 | 8 |
Questions
What is the 1311th prime number?
10753.
Which prime number is 10753?
10753 is the 1311th prime number.
What is the sum of the first 1311 primes?
6,587,302.