What is the 547th prime number?
The 547th prime number is 3943. The next prime is 3947 (a gap of 4) and the one before is 3931.
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 547th one is 3943.
- 2
3943 is prime because no prime up to ā3943 ā 62.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 547th prime is close to 547 Ć ln(547) ā 3449, and here it is 3943.
- 4
3943 has no twin: neither 3941 nor 3945 is prime.
Primes around the 547th
| Position | Prime | Gap from the previous |
|---|---|---|
| 544 | 3923 | 4 |
| 545 | 3929 | 6 |
| 546 | 3931 | 2 |
| 547 | 3943 | 12 |
| 548 | 3947 | 4 |
| 549 | 3967 | 20 |
| 550 | 3989 | 22 |
Questions
What is the 547th prime number?
3943.
Which prime number is 3943?
3943 is the 547th prime number.
What is the sum of the first 547 primes?
1,001,604.