What is the 1437th prime number?
The 1437th prime number is 11981. The next prime is 11987 (a gap of 6) and the one before is 11971.
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 1437th one is 11981.
- 2
11981 is prime because no prime up to ā11981 ā 109.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1437th prime is close to 1437 Ć ln(1437) ā 10447, and here it is 11981.
- 4
11981 has no twin: neither 11979 nor 11983 is prime.
Primes around the 1437th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1434 | 11959 | 6 |
| 1435 | 11969 | 10 |
| 1436 | 11971 | 2 |
| 1437 | 11981 | 10 |
| 1438 | 11987 | 6 |
| 1439 | 12007 | 20 |
| 1440 | 12011 | 4 |
Questions
What is the 1437th prime number?
11981.
Which prime number is 11981?
11981 is the 1437th prime number.
What is the sum of the first 1437 primes?
8,022,448.