What is the 3436th prime number?
The 3436th prime number is 32029. The next prime is 32051 (a gap of 22) and the one before is 32027.
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 3436th one is 32029.
- 2
32029 is prime because no prime up to ā32029 ā 178.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3436th prime is close to 3436 Ć ln(3436) ā 27976, and here it is 32029.
- 4
32029 is a twin prime: 32027 and 32029 are both prime.
Primes around the 3436th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3433 | 32003 | 12 |
| 3434 | 32009 | 6 |
| 3435 | 32027 | 18 |
| 3436 | 32029 | 2 |
| 3437 | 32051 | 22 |
| 3438 | 32057 | 6 |
| 3439 | 32059 | 2 |
Questions
What is the 3436th prime number?
32029.
Which prime number is 32029?
32029 is the 3436th prime number.
What is the sum of the first 3436 primes?
51,595,653.