What is the 3435th prime number?
The 3435th prime number is 32027. The next prime is 32029 (a gap of 2) and the one before is 32009.
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 3435th one is 32027.
- 2
32027 is prime because no prime up to ā32027 ā 178.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3435th prime is close to 3435 Ć ln(3435) ā 27967, and here it is 32027.
- 4
32027 is a twin prime: 32027 and 32029 are both prime.
Primes around the 3435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3432 | 31991 | 10 |
| 3433 | 32003 | 12 |
| 3434 | 32009 | 6 |
| 3435 | 32027 | 18 |
| 3436 | 32029 | 2 |
| 3437 | 32051 | 22 |
| 3438 | 32057 | 6 |
Questions
What is the 3435th prime number?
32027.
Which prime number is 32027?
32027 is the 3435th prime number.
What is the sum of the first 3435 primes?
51,563,624.