What is the 549th prime number?
The 549th prime number is 3967. The next prime is 3989 (a gap of 22) and the one before is 3947.
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 549th one is 3967.
- 2
3967 is prime because no prime up to ā3967 ā 62.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 549th prime is close to 549 Ć ln(549) ā 3463, and here it is 3967.
- 4
3967 has no twin: neither 3965 nor 3969 is prime.
Primes around the 549th
| Position | Prime | Gap from the previous |
|---|---|---|
| 546 | 3931 | 2 |
| 547 | 3943 | 12 |
| 548 | 3947 | 4 |
| 549 | 3967 | 20 |
| 550 | 3989 | 22 |
| 551 | 4001 | 12 |
| 552 | 4003 | 2 |
Questions
What is the 549th prime number?
3967.
Which prime number is 3967?
3967 is the 549th prime number.
What is the sum of the first 549 primes?
1,009,518.