What is the 3494th prime number?
The 3494th prime number is 32563. The next prime is 32569 (a gap of 6) and the one before is 32561.
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 3494th one is 32563.
- 2
32563 is prime because no prime up to ā32563 ā 180.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3494th prime is close to 3494 Ć ln(3494) ā 28507, and here it is 32563.
- 4
32563 is a twin prime: 32561 and 32563 are both prime.
Primes around the 3494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3491 | 32533 | 2 |
| 3492 | 32537 | 4 |
| 3493 | 32561 | 24 |
| 3494 | 32563 | 2 |
| 3495 | 32569 | 6 |
| 3496 | 32573 | 4 |
| 3497 | 32579 | 6 |
Questions
What is the 3494th prime number?
32563.
Which prime number is 32563?
32563 is the 3494th prime number.
What is the sum of the first 3494 primes?
53,469,093.