What is the 1434th prime number?
The 1434th prime number is 11959. The next prime is 11969 (a gap of 10) and the one before is 11953.
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 1434th one is 11959.
- 2
11959 is prime because no prime up to ā11959 ā 109.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1434th prime is close to 1434 Ć ln(1434) ā 10423, and here it is 11959.
- 4
11959 has no twin: neither 11957 nor 11961 is prime.
Primes around the 1434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1431 | 11939 | 6 |
| 1432 | 11941 | 2 |
| 1433 | 11953 | 12 |
| 1434 | 11959 | 6 |
| 1435 | 11969 | 10 |
| 1436 | 11971 | 2 |
| 1437 | 11981 | 10 |
Questions
What is the 1434th prime number?
11959.
Which prime number is 11959?
11959 is the 1434th prime number.
What is the sum of the first 1434 primes?
7,986,527.