What is the 1386th prime number?
The 1386th prime number is 11491. The next prime is 11497 (a gap of 6) and the one before is 11489.
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 1386th one is 11491.
- 2
11491 is prime because no prime up to ā11491 ā 107.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1386th prime is close to 1386 Ć ln(1386) ā 10027, and here it is 11491.
- 4
11491 is a twin prime: 11489 and 11491 are both prime.
Primes around the 1386th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1383 | 11471 | 4 |
| 1384 | 11483 | 12 |
| 1385 | 11489 | 6 |
| 1386 | 11491 | 2 |
| 1387 | 11497 | 6 |
| 1388 | 11503 | 6 |
| 1389 | 11519 | 16 |
Questions
What is the 1386th prime number?
11491.
Which prime number is 11491?
11491 is the 1386th prime number.
What is the sum of the first 1386 primes?
7,422,539.