What is the 548th prime number?
The 548th prime number is 3947. The next prime is 3967 (a gap of 20) and the one before is 3943.
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 548th one is 3947.
- 2
3947 is prime because no prime up to ā3947 ā 62.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 548th prime is close to 548 Ć ln(548) ā 3456, and here it is 3947.
- 4
3947 has no twin: neither 3945 nor 3949 is prime.
Primes around the 548th
| Position | Prime | Gap from the previous |
|---|---|---|
| 545 | 3929 | 6 |
| 546 | 3931 | 2 |
| 547 | 3943 | 12 |
| 548 | 3947 | 4 |
| 549 | 3967 | 20 |
| 550 | 3989 | 22 |
| 551 | 4001 | 12 |
Questions
What is the 548th prime number?
3947.
Which prime number is 3947?
3947 is the 548th prime number.
What is the sum of the first 548 primes?
1,005,551.