What is the 3434th prime number?
The 3434th prime number is 32009. The next prime is 32027 (a gap of 18) and the one before is 32003.
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 3434th one is 32009.
- 2
32009 is prime because no prime up to ā32009 ā 178.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3434th prime is close to 3434 Ć ln(3434) ā 27958, and here it is 32009.
- 4
32009 has no twin: neither 32007 nor 32011 is prime.
Primes around the 3434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3431 | 31981 | 8 |
| 3432 | 31991 | 10 |
| 3433 | 32003 | 12 |
| 3434 | 32009 | 6 |
| 3435 | 32027 | 18 |
| 3436 | 32029 | 2 |
| 3437 | 32051 | 22 |
Questions
What is the 3434th prime number?
32009.
Which prime number is 32009?
32009 is the 3434th prime number.
What is the sum of the first 3434 primes?
51,531,597.