What is the 1436th prime number?
The 1436th prime number is 11971. The next prime is 11981 (a gap of 10) and the one before is 11969.
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 1436th one is 11971.
- 2
11971 is prime because no prime up to ā11971 ā 109.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1436th prime is close to 1436 Ć ln(1436) ā 10439, and here it is 11971.
- 4
11971 is a twin prime: 11969 and 11971 are both prime.
Primes around the 1436th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1433 | 11953 | 12 |
| 1434 | 11959 | 6 |
| 1435 | 11969 | 10 |
| 1436 | 11971 | 2 |
| 1437 | 11981 | 10 |
| 1438 | 11987 | 6 |
| 1439 | 12007 | 20 |
Questions
What is the 1436th prime number?
11971.
Which prime number is 11971?
11971 is the 1436th prime number.
What is the sum of the first 1436 primes?
8,010,467.