What is the 1385th prime number?
The 1385th prime number is 11489. The next prime is 11491 (a gap of 2) and the one before is 11483.
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 1385th one is 11489.
- 2
11489 is prime because no prime up to ā11489 ā 107.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1385th prime is close to 1385 Ć ln(1385) ā 10018, and here it is 11489.
- 4
11489 is a twin prime: 11489 and 11491 are both prime.
Primes around the 1385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1382 | 11467 | 20 |
| 1383 | 11471 | 4 |
| 1384 | 11483 | 12 |
| 1385 | 11489 | 6 |
| 1386 | 11491 | 2 |
| 1387 | 11497 | 6 |
| 1388 | 11503 | 6 |
Questions
What is the 1385th prime number?
11489.
Which prime number is 11489?
11489 is the 1385th prime number.
What is the sum of the first 1385 primes?
7,411,048.