What is the 1387th prime number?
The 1387th prime number is 11497. The next prime is 11503 (a gap of 6) and the one before is 11491.
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 1387th one is 11497.
- 2
11497 is prime because no prime up to ā11497 ā 107.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1387th prime is close to 1387 Ć ln(1387) ā 10035, and here it is 11497.
- 4
11497 has no twin: neither 11495 nor 11499 is prime.
Primes around the 1387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1384 | 11483 | 12 |
| 1385 | 11489 | 6 |
| 1386 | 11491 | 2 |
| 1387 | 11497 | 6 |
| 1388 | 11503 | 6 |
| 1389 | 11519 | 16 |
| 1390 | 11527 | 8 |
Questions
What is the 1387th prime number?
11497.
Which prime number is 11497?
11497 is the 1387th prime number.
What is the sum of the first 1387 primes?
7,434,036.