What is the 1435th prime number?
The 1435th prime number is 11969. The next prime is 11971 (a gap of 2) and the one before is 11959.
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 1435th one is 11969.
- 2
11969 is prime because no prime up to ā11969 ā 109.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1435th prime is close to 1435 Ć ln(1435) ā 10431, and here it is 11969.
- 4
11969 is a twin prime: 11969 and 11971 are both prime.
Primes around the 1435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1432 | 11941 | 2 |
| 1433 | 11953 | 12 |
| 1434 | 11959 | 6 |
| 1435 | 11969 | 10 |
| 1436 | 11971 | 2 |
| 1437 | 11981 | 10 |
| 1438 | 11987 | 6 |
Questions
What is the 1435th prime number?
11969.
Which prime number is 11969?
11969 is the 1435th prime number.
What is the sum of the first 1435 primes?
7,998,496.