What is the 3480th prime number?
The 3480th prime number is 32423. The next prime is 32429 (a gap of 6) and the one before is 32413.
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 3480th one is 32423.
- 2
32423 is prime because no prime up to ā32423 ā 180.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3480th prime is close to 3480 Ć ln(3480) ā 28379, and here it is 32423.
- 4
32423 has no twin: neither 32421 nor 32425 is prime.
Primes around the 3480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3477 | 32401 | 20 |
| 3478 | 32411 | 10 |
| 3479 | 32413 | 2 |
| 3480 | 32423 | 10 |
| 3481 | 32429 | 6 |
| 3482 | 32441 | 12 |
| 3483 | 32443 | 2 |
Questions
What is the 3480th prime number?
32423.
Which prime number is 32423?
32423 is the 3480th prime number.
What is the sum of the first 3480 primes?
53,014,111.