What is the 3481st prime number?
The 3481st prime number is 32429. The next prime is 32441 (a gap of 12) and the one before is 32423.
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 3481st one is 32429.
- 2
32429 is prime because no prime up to ā32429 ā 180.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3481st prime is close to 3481 Ć ln(3481) ā 28388, and here it is 32429.
- 4
32429 has no twin: neither 32427 nor 32431 is prime.
Primes around the 3481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3478 | 32411 | 10 |
| 3479 | 32413 | 2 |
| 3480 | 32423 | 10 |
| 3481 | 32429 | 6 |
| 3482 | 32441 | 12 |
| 3483 | 32443 | 2 |
| 3484 | 32467 | 24 |
Questions
What is the 3481st prime number?
32429.
Which prime number is 32429?
32429 is the 3481st prime number.
What is the sum of the first 3481 primes?
53,046,540.