What is the 1438th prime number?
The 1438th prime number is 11987. The next prime is 12007 (a gap of 20) and the one before is 11981.
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 1438th one is 11987.
- 2
11987 is prime because no prime up to ā11987 ā 109.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1438th prime is close to 1438 Ć ln(1438) ā 10456, and here it is 11987.
- 4
11987 has no twin: neither 11985 nor 11989 is prime.
Primes around the 1438th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1435 | 11969 | 10 |
| 1436 | 11971 | 2 |
| 1437 | 11981 | 10 |
| 1438 | 11987 | 6 |
| 1439 | 12007 | 20 |
| 1440 | 12011 | 4 |
| 1441 | 12037 | 26 |
Questions
What is the 1438th prime number?
11987.
Which prime number is 11987?
11987 is the 1438th prime number.
What is the sum of the first 1438 primes?
8,034,435.